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
How do you decide if a decimal is a rational​ number?
Bogdan [553]
You decide if it has a pattern if it is a repeating pattern then it is a rational number decimal however if it a decimal with no pattern it is irrational
6 0
3 years ago
Elsa buys 27 quarts of punch for a party. Each serving is 8 fluid ounces. If the guests drink 100 servings of punch, how many fl
a_sh-v [17]

Answer:

764 US Fluid Ounce

Step-by-step explanation:

Refrence Sheet Used: https://media.studyisland.com/pics/FL8thgradereferencesheet.html

27 US Liquid Quarts = 864 US Fluid Ounces, - 100 US Fluid Ounces = 764

4 0
3 years ago
Find the sum of the given vectors and illustrate geometrically. [-1,4],[6,-2]
cricket20 [7]

Answer:

The sum of vectors is <5,2>.

Step-by-step explanation:

The given vectors are <-1,4> and <6,-2>.

We need to find the sum of the given vectors and illustrate geometrically.

Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).

Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).

Now complete the parallelogram and the diagonal represents the sum of both vectors.

The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.

Check the sum of vectors:

+==

Therefore, the sum of vectors is <5,2>.

4 0
3 years ago
What is the value of y?
Alenkasestr [34]

Answer:

I'm not sure but... here you go

7 0
3 years ago
Explain how he would find parts A, B, and C of the model. solve 273 ÷ 13
OverLord2011 [107]

Answer: 273 divided by 13 = (260 + 13) divided by 13 = 260 divided by 13 + 13 divided by 13 = 20 + 1 = 21

A= 2

B= 13

C= 1

hope this helps let me know if it's wrong

5 0
2 years ago
Other questions:
  • What does it mean when it says equivalent form of the equation?
    14·2 answers
  • What is 2 7/8 as an integer
    14·1 answer
  • What is the equation of the quadratic graph with a focus of (3,4) and a drirectrix of y =8
    11·1 answer
  • Solve 5y=40 what is y
    10·2 answers
  • Answer please need help
    14·2 answers
  • (08.04 MC)
    12·1 answer
  • Point JJJ is located at (-4, 4)(−4,4)left parenthesis, minus, 4, comma, 4, right parenthesis. Select all of the following that a
    12·1 answer
  • 32.28 divided by 6.24
    7·2 answers
  • Correct 8.43225 to 3 significant figures​
    5·1 answer
  • How many 3-yard straight pieces does Vince need altogether to build the three slides?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!