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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

Respuesta :

CastleRook
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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