From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.​

Answers

Answer 1

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)


Related Questions

William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)

Answers

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

PLSSS HELP!!! THIS IS MY LAST QUESTION!

Nicolette decided to see what the class could earn from each activity in the same number of weeks. she decided to see how much they could earn in weeks.
a. Why do you think Nicolette chose 12 weeks?
b. how much could they earn from each activity in 12 weeks
d. how can this help Nicolette decide which way will earn more money.

Answers

Answer:

D seems most credible .

Hopefully this helped

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

810

Step-by-step explanation:

[tex]V = l * w * h = 5 * 9 * 18 = 810\ cm^3[/tex]

No links please! And I need this math answer quick

Answers

Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

Find the missing side of the triangle.
Solve for X

Answers

Answer:

11.18 or 11 yards

Step-by-step explanation:

15² - 10² = x²

225 - 100 = x

225 - 100 = 125

√125 = 11.180339887498948482045868343656

11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.

What is m<1?

A. 21°
B. 23°
C. 24°

Answers

Hi there!

[tex]\large\boxed{\text{B. }23^o}[/tex]

According to a circle theorem:

m∠1 = 1/2(a - b) where a and b are angles.

Thus:

m∠1 = 1/2(94 - 48)

Simplify:

m∠1 = 1/2(46) = 23°. The answer is B.

Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt

Answers

Step-by-step explanation:

.....................

HELP I NEED TO GRADUATE​

Answers

Answer:

Step-by-step explanation:

17/20 x 2/3

Then 17/10 x 1/3 = 17/30

Your friend's house is 10.8 miles north and 14.4 miles east of the bank. How far is your friend's house from the bank?

Answers

Answer:

Its 25.2

Step-by-step explanation:

14.4 + 10.8

If friend house is 10.8 miles north and 14.4 miles east of the bank then distance of person's house from bank is 18 miles.

What is pythagoras theorem?

Pythagoras theorem says that in a right angled triangle the square of hypotenuse is equal to the sum of squares of base and perpendicular of that triangle.

[tex]H^{2} =B^{2} +P^{2}[/tex] in which P is perpendicular, B is base, H is hypotenuse of triangle.

How to find hypotenuse?

When we express person's house,his friend's house and bank on the surface then it will look like a right angled triangle.

H=[tex]\sqrt{B^{2} +P^{2}}[/tex]

=[tex]\sqrt{10.8^{2} +14.4^{2} }[/tex]

=[tex]\sqrt{324}[/tex]

=18 miles

Hence the distance of person's house from bank is 18 miles.

Learn more about pythagoras theorem at https://brainly.com/question/343682

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Question is wrong as the right question is that calculate the distance between person's house and bank.

I REALLY NEED HELP PLS​

Answers

Answer:

Step-by-step explanation:

100+2x+40=180(sum of interior angle of a triangle)

140+2x=180

2x=180-140

2x=40

x=40/2

x=20

Answer:

x=20

Step-by-step explanation:

the sum of the angles of a triangle is 180

so it means,

100+40+(2×)=180

140+(2×)=180

2×=180-140

2×=40

divide both sides by 2

x=20

to prove this substitute 20 inside see if the result is 180

40+100+(2×)=180

×=20

40+100+(2 (20))=180

140+40=180

140+40=180

Good luck.

Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?

Answers

Answer:16

Step-by-step explanation:

i just need to the points sorry dude

Write the exponential function

Answers

Answer: f(x)=3(2)^x (The second option)

Step-by-step explanation:

By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!

What is the probability of flipping a coin 12 times and getting heads 3 times?
Round your answer to the nearest tenth of a percent.

Answers

Answer:

1/4

Step-by-step explanation:

We put 3 /12 which is 1/4 simplified

Glad I could help!!1

Zachary earns $5 per hour, and he makes a $20 bonus.
His equation is shown in red on the graph, y = 5x + 20.
Maisy earns $7.50 per hour, and she makes a $5 bonus.
Her equation is shown in blue on the graph, y = 7.50x +
5.
After how many hours do they earn the same amount of
money? Where do you see this on the graph?

Answers

Answer:

6 hours

we see it at the x value of 6 on the graph

Step-by-step explanation:

I graphed it too using desmos then located the point where they cross, the solution point, and it was at the x value of 6 and they will have made $50 by the way in case you wanted to know that too so we see that on the graph at the point (6,50) is where they make the same amount of money.

HELP
Find the slope between the two points (6,-3) (7,2)

Answers

Answer: The slope is 5

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

hope this helps!

Sarita deposits $1,00 in an account paying 3.4% annual interest compounded continuously. Use the formula to continuous compounded interest, A=Pe rt , where p is the principal, r is the annual interest rate, and t is the time in years.

A. What is the balance in Sarita's account after 5 years?
B.How long will it take the balance in Sarita's account to reach $2,000

Answers

Answer:

Step-by-step explanation:

a  : 1,000

b : 350


A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock

Answers

Answer:

9.2929

Step-by-step explanation:

La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades

para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de

padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones

de ahorro:

Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.

Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.

Ayuda a los padres de familia de la promoción a elegir la mejor opción.







ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu

Answers

Answer:

Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.

Step-by-step explanation:

El monto recaudado por la escuela secundaria = S / 24,000

Las opciones que tienen los padres para depositar el dinero son;

Opción 1:

El interés simple del depósito = 10%

El número de veces que se aplica el interés anualmente = Trimestral

El número de años para el depósito = 2 años

opcion 2

La tasa de interés del depósito, r = 18% de interés simple.

El número de veces que se aplica el interés = Semestralmente

La cantidad de años que se ahorrará la cantidad = 2 años

Opción 1

Observamos que para el interés simple no hay interés ganado sobre el interés anterior.

Por lo tanto;

Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;

Yo = P × R × T / (100)

∴ I₁ = 24.000 × 40 × 2/100 = 19.200

El interés después de 2 años en la opción 1, I₁ = S /. 19.200

opcion 2

Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;

Yo = P × R × T / (100)

∴ I₂ = 24.000 × 36 × 2/100 = 17.280

El interés después de 2 años en la opción 2, I₂ = S /. 17.280

Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%

Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.

How many shells does Zoe give to Dev?

Answers

Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

Step-by-step explanation:

Might not be correct but I try to explain in my best ways(: question not from safari! let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

What's the value of X for the figure below?

Answers

Answer:

75+30+x+30+x+75=360

210+2x=360

2x=360-210

2x=150

x=150/2

x=75

Step-by-step explanation:

therefore x=75 degree

Plot these points in the graph:
f(x)=(x+1)(x-5)

Answers

Answer:

graph based on step by step

Step-by-step explanation:

Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum

The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?

Answers

Answer:

7 ft.

Step-by-step explanation:

210 / (5*6)

= 210/30

= 7 ft.

PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE

Answers

Answer:

hiii

zom I'd 213 088 8336

p 0

come for s

Answer:

113 degree

Step-by-step explanation:

missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.

Please give me answer please ​

Answers

Answer:

ESIUGSID

Step-by-step explanation:

ALIMONY

First and last letter swapped.

ALIMONY ==> Y_ _ _ _ _A

Then every two letters are reversed.

ALIMONY ==> Y I L _ _ _ A

ALIMONY ==> Y I L _ N O A

ALIMONY ==> Y I L M N O A

Same steps for DISGUISE

First and last letter swapped.

DISGUISE ==> E _ _ _ _ _ _ D

Then reverse every two letters.

DISGUISE ==> E S I U G S I D


What is 1519 rounded to the first digit

Answers

Answer:

1520

Step-by-step explanation:

hope it is helpful

After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?

Answers

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m

Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles

Answers

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs


Which is the answer no links please.

Answers

Answer:

c

Step-by-step explanation:

How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.

Answers

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

For what value of k is the expression x4+kx2+36 a perfect square?

Answers

Answer:

12

Step-by-step explanation:

Because if you see clearly that is the only answer that makes the most sense!

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The equation is given below.

⇒ x⁴ + mx² + 64

Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,

b² = 4ac

m² = 4 x 1 x 64

m² = 265

m² = 16²

m = 16

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

More about the perfect square trinomial link is given below.

brainly.com/question/16615974

#SPJ3

complete question:

For what value of m is the expression x4+mx2+64 a perfect square?

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