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20 October, 17:11

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

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Answers (1)
  1. 20 October, 17:24
    0
    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
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