A ladder that is 15 feet long is leaned against a building such that it makes a 52 angle with the level ground. What height to the nearest tenth of a foot does the ladder reach up the building

Question

Mathematics

Walker Collins

Today, 15:34

A ladder that is 15 feet long is leaned against a building such that it makes a 52 angle with the level ground. What height to the nearest tenth of a foot does the ladder reach up the building

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Answers (1)

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Ian Fry · Answer 1

The height will be found using the formula:

sin θ=opposite/hypotenuse

opposite = height h

hypotenuse=length of the ladder

thus

sin 52=h/15

thus

h=15sin52

h=11.82 ft~ 11.8 ft (to the nearest ft)