A 15-foot ladder is leaning against a building. It makes a 74° angle with the ground. How far up the side of the building does the ladder reach?

Answer 1

Greetings! Lets solve this shall we ?

We must find the height of ladder leaned against the building such that we use a trig function to obtain this value. Then,

sin74 = x / 15 ............We cross multiply such that

x = 15sin74.............Then multiply such that

x = 14.4 feet

I hope this helped!