A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft


Related Questions

A 15 foot ladder leans against a building and reaches a window 12 feet above the ground. What is the measure of the angle, to the nearest degree, that the ladder forms with the ground?

Answers

Answer:

paki sagot naman po para my isagot ako sa module ko

Answer:

it should be 37°

Step-by-step explanation:

cos=adj/hypo

cis-1(12/15)

=36.8

=37

T= 3x +4y work out the value of T when x = 5 and y = -7

Answers

Answer:

T=-13

Step-by-step explanation:

substitute T=3*5+4*(-7)

the product:T=15-28

the sum:T=-13

Can someone help me with this please ?

Answers

3. (x + 1)/4 = 3 / 6
x + 1 = 3/6 x 4 = 2
x = 1

Scale factor = 6 / 4 = 1.5

Ratio of perimeters = 2 : 3

4. x / 21 = 20 / 15
x = 20 / 15 x 21 = 28

Scale factor = 20 / 15 = 4/3

Ratio of perimeters = 3 : 4

Ms. Mackey records the number of math problems that each of her students gets correct on a math fact quiz.
The numbers of correct problems on the quizzes for the 15 students are listed below.

Answers

Answer and also explanation:

Use the drawing tool(s) to form the correct answer on the provided plot.

In order to construct a dot plot representing the number of correct problems on each student's quiz, first find the range of the data.

The maximum number of correct problems is 10. The minimum number of correct problems is 2. Therefore, the number of correct problems ranges from 2 to 10.

Next, determine how many students had each number of correct problems in the range.

No. of Correct Problems

0 1 2 3 4 5 6 7 8 9 10

No. of Students 0 0 1 1 2 0 3 2 2 2 2

The number of correct problems, from 0 to 10, will be the values on the number line. The number of students will be the number of dots above each value on the number line.

The dot plot showing the correct number of math problems for Ms. Mackey's students is shown on your question.

Write an equation to represent the relationship between x and y:​

Answers

Answer:

y = 1/3 x - 1

Step-by-step explanation:

use slope formula then substitute an x and y and the m to find b

y=mx+b

Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the school to Cherry Street. Round your answer to the nearest tenth.

Answers

Answer:

[tex]11.2[/tex]

Step-by-step explanation:

We can use the distance formula to solve this problem.

This distance formula states that the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to [tex]\sqrt{(\Delta x)^2+(\Delta y)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

School is at coordinate point (9,6) and the closest point to school on Cherry St. is (4,-4).

Thus, the distance between school and Cherry Street is [tex]\sqrt{(9-4)^2+(6-(-4))^2}=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}\approx \boxed{11.2}[/tex]

HELP please i need this done by thursday

Answers

It would be one unit right and five units down.

f(x-1) - 5

The -1 is the x value
And -5 is the y value.

The vertex formula is a(x-h)^2 + k
This is modified so no ^2.

If you plug -5 in, it would be (x- -5), therefore, it’s positive.

So, (1, -5).

Fill in the blank with the correct response. The slope of the graph of y = -7x is

Answers

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Find the measurement of the missing side in each right triangle.

Answers

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.

What is the answer for this question?

Answers

Answer:

a/e

~~~~~~~~~~

[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]

[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]

[tex]\frac{ ab cd}{ bc de}\\[/tex]

[tex]\frac{ a }{ e}\\[/tex]

Step-by-step explanation:

I really need this help

Answers

Answer:

area: 454.2 sq.cm

perimeter: 77.7 cm

Step-by-step explanation:

to find area, find the area of all the separate shapes and add them together:

semi-circle:

radius is 12 cm

area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm

separate the trapezoid into two right triangles and a rectangle.

area for triangles:

[tex]\frac{1}{2}[/tex](5)(12) = 30

30 x 2 = 60 sq.cm (since there are two triangles)

area for rectangle:

12 x 14 = 168 sq.cm

area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm

for perimeter, just add the length of the exterior sides together.

we have some unknown sides, such as the semicircle and the sides of the trapezoid

we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem

[tex]5^2 + 12^2 = c^2[/tex]

[tex]25 + 144 = c^2[/tex]

[tex]169 = c^2[/tex]

[tex]\sqrt{169} =\sqrt{c^2}[/tex]

c = 13 cm

to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half

[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm

now add it all up:

14 + 13 + 13 +37.7 = 77.7

An account pays 9% per year simple interest. In year 1, the amount in the
account is $750. How much is in the account in year 6?

Answers

Answer:

$405

Step-by-step explanation:

SI=PTR/100

=9*1*750/100

=$ 67.50

In 6 yrs= 67.50*6

=$405

Answer:

The answer is $1087.50

I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)

find any 4 rational number between -1/2 and -1/3

Answers

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

help me please please

Answers

Answer:

A

Step-by-step explanation:

For a number to be written in scientific notation, you need to have it in the form:

a x 10^n

Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.

area of a triangle: sine formula just please help i’m stuck and i don’t know what to do this was due yesterday

Answers

Answer:

269.0

Step-by-step explanation:

Trigonmetric area formula: 0.5 * a* b* sin(C)

a = 46

b=19

c = 38 degrees

0.5 * 46 * 19 * sin(38)

Pulg it into a calculator and you get 269.0441

Then round to the nearest tenth to get 269.0

Please help me-
The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

[tex]\text{C. }g(x)=(x-5)^2[/tex]

Step-by-step explanation:

The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].

Therefore, we have:

[tex]g(x)=\boxed{(x-5)^2}[/tex]

Complete the equation for the relationship between the weight and number of months

Answers

Y=5.5x because I know

Solve for O pls and thank you

Answers

Answer:

a)  67.4°

Step-by-step explanation:

since this is a right triangle you can use the sine trigonometric ratio of opposite/hypotenuse

sin⁻¹(Ф) = 12/13 which equals 67.4°

Sabe-se que o preço a ser pago por uma corrida de táxi inclui uma parcela fixa, que é denominada bandeirada, e uma parcela variável, que é função da distância percorrida. Se o preço da bandeirada é R$4,60 e o quilômetro rodado é R$0,96, qual a distância percorrida por um passageiro que pagou R$19,00?

a) 15 km

b) 16 km

c) 17 km

d) 18 km

e) 19 km

Answers

Answer:

El pasajero recorrió 15 kilómetros.

Step-by-step explanation:

Dado que se sabe que el precio a pagar por un viaje en taxi incluye una parte fija, que se denomina bajada de bandera, y una parte variable, que es función de la distancia recorrida, si el precio de la bajada de bandera es de R $ 4,60 y el kilómetro recorrido es de R $ 0,96, para determinar cuál es la distancia recorrida por un pasajero que pagó R $ 19,00 se debe realizar el siguiente cálculo:

Costo total = (0.96 x cantidad de km recorridos) + 4.60

19 = 0.96X + 4.60

19 - 4.60 = 0.96X

14.4 = 0.96X

14.4 / 0.96 = X

15 = X

Por lo tanto, el pasajero recorrió 15 kilómetros.

what is 3x² - 6x over x-2 simplified?

Answers

Answer:

3x

Step-by-step explanation:

3x^2 - 6x / x - 2

3x(x - 2) / x-2

cancels out

3x


3x^2-6x/x-2
3x(x-2)/x-2

=3x

Find the volume and surface area of the cone (to the nearest tenth)

Answers

Answer:

Surface area of cone = 286.55 cm² (Approx.)

Volume of cone = 263.89 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of cone = 7 cm

Diameter of cone = 12 cm

Find:

Surface area of cone

Volume of cone

Computation:

Radius of cone = 12 / 2 = 6 cm

Surface area of cone = πr(l +r)

Surface area of cone = (3.14)(6)[(√7² + 6²) + 6]

Surface area of cone = 18.84[15.21]

Surface area of cone = 286.55 cm² (Approx.)

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(6²)(7)

Volume of cone = (1/3)(3.14)(36)(7)

Volume of cone = 263.89 cm³ (Approx.)

help me find this answer​

Answers

Answer:

37.6 cm

Step-by-step explanation:

5.6m = 560cm

3.8m = 380cm

560/50 = 11.2 cm

380/50 = 7.6 cm

11.2 + 11.2 + 7.6 + 7.6 = 37.6 cm

BNATT73ZGEZZU63F
free reedem code​

Answers

Thanks! But what is it for??

Answer:

Thanks I got my free thing from this code that points out where to redeem it

Step-by-step explanation:

Write an algebraic expression for the phrase. 4 times the sum of q and p

Answers

4(q+p)
4 times the sum of q and p

1. Find 3 rational numbers between −1//3 and 1/−5

Answers

Step-by-step explanation:

-1×5 1×3

------ -----

3×5 -5×3

=

-5/15 -3/15

-5/15×4/4 ;

-3/15×4/4

=

-20/60 ;

-12/60

you can write any 8 rational no. between them

please mark as brainliest answer as it will also give you 3 pts

someone please help me ASAP!

Answers

it would be (-5,-1) yw

Answer:

(-7,-1)

Step-by-step explanation:

bcoz coordinates of a is (-6,-2) and x=-6 we use the x-1 to find the new x which is

-6-1=-7

and to find y you should use y-3 and replace y with 2 which will be

2-3=-1

and y =-1

so the new coordinates are -7 for x-axis and -1for y-axis

What is the nth term rule of the linear sequence -5,-7,-9,-11,-13

Answers

Answer:

-7

Step-by-step explanation:

cause I took the test and got it right in my first try

Your rule for the sequence is -2n-3. Substitute any value for n and you will get the input. Hopefully this helps

HELP WITH THIS SOMEONE!!!

Answers

Answer:

to blury

Step-by-step explanation:

Please help what’s the answer ??

Answers

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

prove that 9^3/2 -3 *5^0 -(1/81)^-1/2 = 15


Pls help, correct answer, I’ll mark as brainliest

Answers

Answer:

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

Step-by-step explanation:

The given expression is :

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

We need to prove that LHS is equal to RHS.

Taking LHS,

[tex]=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}[/tex]

[tex]=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS[/tex]

Hence, LHS = RHS.

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