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

Kale Burton

19 September, 18:14

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

+3

Answers (1)

Know the Answer?

Amanda Giles · 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)