Question

A 20 foot extension ladder liens against a building if the base of the latter is placed 6 feet from the base of the building what is the angle of elevation of the latter

Answer 1

For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:

tan (value) = opposite/adjacent

tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)

8 * tan 75 = opposite

29.8564065 = opposite

So, the ladder is 29.9 feet.