Question

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

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)