A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

To the nearest tenth of a foot, how far from the building is the base of the ladder?

20.5 ft

30.5 ft

32.3 ft

39.5 ft

Question

Mathematics

Ashleigh Levine

4 May, 08:01

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

To the nearest tenth of a foot, how far from the building is the base of the ladder?

20.5 ft

30.5 ft

32.3 ft

39.5 ft

+4

Answers (1)

Know the Answer?

Yasmine Mosley · Answer 1

The distance from the base of the ladder to the way will be given by:

tan θ = opposite/adjacent

θ=70

adjacent=x

opposite=25 ft

thus

tan 70=25/x

thus

x=25/tan 70

hence:

x=9.1 ft

Answer: 9.1 ft

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.To the nearest tenth of a foot, how far from the building is the base of the ladder?20.5 ft30.5 ft32.3 ft39.5 ft

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

To the nearest tenth of a foot, how far from the building is the base of the ladder?

20.5 ft

30.5 ft

32.3 ft

39.5 ft