After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?

11.0 ft.

12.2 ft.

16.7 ft.

20.5 ft.

Question

Mathematics

Maeve Novak

7 May, 23:08

After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?

11.0 ft.

12.2 ft.

16.7 ft.

20.5 ft.

+2

Answers (1)

Know the Answer?

Shadow · Answer 1

The answer is 20.5 feet, because when you draw out the triangle and label the angles and given sides and then use the law of sines, you end up with it.

After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?11.0 ft.12.2 ft.16.7 ft.20.5 ft.

After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?

11.0 ft.

12.2 ft.

16.7 ft.

20.5 ft.