1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
6

A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o

f a foot how high off the ground is the top of the ladder?
A. 20.3 ft

B. 10.9 ft

C. 26.2 ft

D. 39.1 ft

Mathematics
2 answers:
kolezko [41]3 years ago
4 0
See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse


in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft


tester [92]3 years ago
3 0

Answer:

30.1 ft.

Step-by-step explanation:

Please find the attachment.

Let the top of the ladder be 'h' feet high off the ground.

We have been given that a 32 ft long ladder leans against a building. The angle of elevation of the ladder is 70 degrees.

Upon looking at our attachment we can see that the 32 ft long side is hypotenuse and side with length h feet is opposite side of the right triangle formed by ladder and building with respect to ground.

Since sine relates the opposite side of right triangle with hypotenuse, so we can set an equation as:

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}        

Upon substituting our given values we will get,

\text{sin}(70^{\circ})=\frac{h}{32}        

0.939692620786=\frac{h}{32}        

0.939692620786*32=\frac{h}{32}*32        

30.070163865152=h  

h\approx 30.1    

Therefore, the top of the ladder is 30.1 feet high off the ground.      

You might be interested in
What is meant mathematically when we say we have an "even" or "odd" function?
Klio2033 [76]
I a function is even the leading term will have an even exponent. If a function is odd than the leading terms exponent is odd.

an even function has a parabola looking graph, while an odd function has min and max graph

6 0
3 years ago
0.2(-4–2.5b–7c). write the product
Xelga [282]

Answer:

-0.8 - 0.5b - 1.4c

Step-by-step explanation:

Take the b and the c away

Then times the 0.2 by all the numbers but don't add them

Once your done you and the b and c back to you equation

4 0
3 years ago
James is given the diagram below and asked to prove that d is congruent to f. What would be the missing step of the proof? I onl
klemol [59]
The correct answer is B
3 0
3 years ago
Read 2 more answers
Translate the statement below. "One less than twice a number.."​
Inga [223]
One less than twice a number is seventeen.
3 0
3 years ago
Read 2 more answers
What is the area of a circle if half of it is 22 inches
Kobotan [32]

Answer: <em>The answer is 44.</em>

Step-by-step explanation:<em> </em><em>The answer is 44 because if half the area of the circle is 22 all you have to do is 22+22 or 22*2.</em>

<em />

<em>22+22=44  22*2=44</em>

3 0
3 years ago
Other questions:
  • Mila reads at a rate of 3 paragraphs per minute.
    9·2 answers
  • Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y =
    11·1 answer
  • How do you do 720 divided by 10 with the exponet of 3
    14·2 answers
  • Find the value of the inverse function, me need a table with x,y values.<br> y=1/2x+5/2
    8·1 answer
  • Will mark brainliest pleassse help someone
    11·1 answer
  • Find the difference. (3 • 1,000) - (2• 100)
    9·1 answer
  • What is the domain of the function represented by the graph?
    11·1 answer
  • Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The formula for the area of a circ
    13·1 answer
  • A sum of money is shared among three friends, Jenny, kenny and roy in the ratio 3:5:7 respectively . Kenny share was $750. Deter
    12·2 answers
  • I am having trouble and want to make sure this is the correct answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!