The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answers
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
Related Questions
given the similar triangles at the left, identify the scale factor.
PLEASE HELPPPPPPPPPPPP
Answers
To find this scale factor, choose a set of sides to compare lengths. For example, taking the left sides of the triangles, which is 9 and 3. 9 is 3 times bigger than the triangle on the right, so that gives us the scale factor of 1/3.
Help pls, I’m confused
Answers
Answer:
(x + y)² = 25
Step-by-step explanation:
The expansion of (x + y)² is
(x + y)² = x² + y² + 2xy ← substitute x² + y² = 15 and xy = 5
= 15 + 2(5)
= 15 + 10
= 25
Find the missing angle measurements of LJK ? , fill in the boxes
Answers
Answer:
Angle LJK = 75 degrees
Step-by-step explanation:
Here, we want to fill the boxes
From the diagram;
angle HJL and LJK are supplementary (they add up to 180 degrees)
Angle HJL + Angle LJK = 180
angle LJK = 180-105
Angle LJK = 75 degrees
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
rhombus
Step-by-step explanation:
What are the x-intercepts of the equation y=4x^2-16
Answers
Answer:
x = ± 2
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
4x² - 16 = 0 (add 16 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
The x- intercepts are x = - 2 and x = 2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Math question part 2 please help
Answers
Answer:
471 cm
Step-by-step explanation:
here diameter of the circle is 150cm, and we know radius is half of diameter.
therefore r = 150/2
= 75
Now,
according to formula,
Circumference of circle = 2πr
= 2 x 3.14 x 75
= 471 cm
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answers
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
Eli broad this flower box for his garden 24 inches 6" 8 inches 18" 8 inches what is the volume in cubic inches of Eli‘s flower box
Answers
Answer:
Sorry, the dimensions you gave are indecipherable.
Step-by-step explanation:
URGENT PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!
Answers
Slope is 0.75 or 3/4 I believe!
list all of the elements of the set (multiples of 4 less than 20)
Answers
Answer:
A(4,8,12,16) is the answer
PLZZZ HELP WORTH 100 POINTS
A pair of equations is shown below: y = 2x − 1 y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.
Part B: What is the solution to the pair of equations?
Answers
Answer: its 7 lol i dont know
Step-by-step explanation:
What is the radius of a circle with a diameter of 6 meters
Answers
radius = d/2
Hope this helps ;)
Answer:
the radius is 3 m
Step-by-step explanation:
the radius of a circle is always one half of the diameter.
Here the diameter is 6 m, so the radius is 3 m.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answers
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
What is the measure of arc DEF?
Answers
Answer:
c
Step-by-step explanation:
Find the measure of y, round to the nearest tenth
Answers
Answer:
y = 8
Step-by-step explanation:
cos = adj/hyp
cos30 = 4√3 / y
y = 4√3 / cos30
y = 6.928203230275509 / 0.866025403784439
y = 8
Bob's Hardware sells buckets in five different sizes. The tiny bucket holds 5
quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large
holds 40 quarts. How many quarts will the extra-large bucket hold?
A. 80 quarts
B. 90 quarts
C. 60 quarts
D. 50 quarts
SUBMIT
Answers
Answer:
C. 60
Step-by-step explanation:
it's counting times 2
What is the value ???????
Help!
Answers
Answer:
please give brainiest
thank you
Answer:
Its 16 (-1/2)^-4=16 then
Here Tran posted it
Answers
Step-by-step explanation:
1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces
2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.
What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers)
Answers
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
Answer: The ray will move to the right and it will be a closed circle.
A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?
Answers
25% of $2100 is $525
If 3x-5=4,find the value of x
Answers
Answer:
x=3
Step-by-step explanation:
3x-5=4
3x=4+5
3x=9
x=9/3
x=3
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answers
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
PLEASE HELP LIKE RIGHT NOW LOL
Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.
Answers
Answer:
It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.
3/4 x . 8 = 6
2-1=1
Find sin (B) in the triangle.
A) 4/3
B) 3/5
C) 3/4
D) 4/5
Answers
Answer:
D) 4/5 that's the answer
Math. please help. .....................
Answers
Answer:
10.1
Step-by-step explanation:
nearest possible answer
Answer:
AC=10.1
Step-by-step explanation:
2accosB=a²+c²-b²
2×7×13cos 50=7²+13²-AC²
182cos50=49+169-AC²
AC²=218-182 cos50
AC=√(218-182 cos 50)≈10.0505≈10.1
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answers
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
5 There are 150 men and 250 women in a crowd.
a What fraction of the crowd are men?
Write your answer in its simplest possible form.
b The ratio of married women to unmarried women is 3 to 2.
How many married women are in the crowd?
C More men arrive. The number of men increases by 20%.
How many men are in the crowd now?
d Some of the women leave.
There are now 60 women in the crowd.
What percentage of the women leave?
Answers
Answer:
men=150
women=250
total=400
Step-by-step explanation:
a) fraction of men
men/total=150/400=15/40
men/total =3/8
b)let married be x
so unmarried wil be 250-x
married/unmarried=3/2
x / 250-x =3/2
x =3(250-x)/2
2x =750-3x
5x=750
x=750/5
x =150
married =150
unmarried=250-150=100
c)20% of men will be :20x150
100
: 30
no of men =150+20%
=150+30
=180
d)no. of women decreased=250-60
=190
percentage of women leaved=% x 250
100
190x100/250=%
76 =%
76% women leaved
It took too much time
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
DO FOLOW
What are the domain and range of the function f(x)= x+5?
Answers
Answer:
top answer, domain and range have no restrictions
Step-by-step explanation:
value expression of 3^5 / 3^3
Answers
Answer:
9
Step-by-step explanation:
3^5 = 243
3^3 = 27
243 / 27 = 9
Hope this helps :)
PLEASE HELP ME PLS!!!!!!!!!
Answers
B. 4 seconds
C. 9.25 seconds