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
Flura [38]
3 years ago
13

A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle

. How long is the wire, and what is the distance from the base of the pole to the spot where the wire touches the ground?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
  • \tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.

You might be interested in
*Mastery Check. DO NOT ask for help. Find the area of the sector. Round your answer to the nearest tenth.
Juliette [100K]

The area of the sector is 472.6 ft²

<h3>Area of a Sector</h3>

For finding the area of the sector, you need apply the formula:

A=\pi r^2* \frac{\alpha }{360}, where:

r= radius

α= central angle

The question gives:

r= radius= 19 ft

α= central angle = 150°

Thus, the area of the sector will be:

A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6

Read more about the area of a sector here:

brainly.com/question/22972014

#SPJ1

3 0
2 years ago
Hhhhhhhhhheeeeeeeeellllllllllllllppppppp
ELEN [110]

Answer:

Since the base is the same, we can just multiply the exponents, and when we do so we get y^6.

7 0
3 years ago
Read 2 more answers
HELP FAST PLS!What value of x makes the equation true? 36/63 = x/7<br> A. 2 B. 3 C. 4 D. 6
taurus [48]
The answer is 4.

36/63 = 0.57
4/7 = 0.57
6 0
3 years ago
Read 2 more answers
Steve bought a triangular mat to cover a corner of his room. How much area of the floor will this mat cover?
Alecsey [184]

Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

8 0
3 years ago
Read 2 more answers
If 10 man can work 6hours.How many more men are needed towork in 4 hours​
Lerok [7]

Answer:

5 more men

Step-by-step explanation:

10 men do a job in 6 hours.

To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.

30 men do a job in 2 hours.

To do the job in twice the time, 4 hours, you need half the men.

15 men do a job in 4 hours.

15 men - 10 men = 5 men

You need 5 more men.

4 0
2 years ago
Other questions:
  • Colton scored a 70 on his first history test of the term and a 91 on the second history test. By what percent did Colton's score
    10·1 answer
  • To prove "p is equal to q" using an indirect proof, what would your starting assumption be?
    10·1 answer
  • In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Poi
    5·1 answer
  • What is the slope of the line? <br><br> 5/9 <br><br> -9/5<br><br> 9/5<br><br> -5/9
    5·1 answer
  • Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredient
    13·1 answer
  • The line L is perpendicular to line M. M passes through (-3,7) and (2,-9). L passes through the midpoint of M. Find the area of
    8·1 answer
  • A stadium has 45,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in
    12·1 answer
  • What is 27a•0=0, please answer it ASAP please
    11·1 answer
  • What is the length of BC? Round to the nearest tenth.
    11·1 answer
  • Is 2.3 + (-2.4) positive number
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!