A 19 -ft ladder leans against a building so that the angle between the ground and the ladder is 79 ∘ 79 ∘ . How high does the ladder reach on the building?

Question

A 19-ft ladder leans against a building so that the angle between the ground and the ladder is  79 degrees

How high does the ladder reach on the building? ft=

Answer 1

79 degrees is fairly steep, so the height should be a little less than 19 feet

height = 19sin79 = 18.651 feet = 18 feet and 7.8 inches high