An extension ladder leans agintst a biulding, making a 75 degree angle of elevation with the ground. the base of the ladder is 8 ft from the base of the building.

to the nearest tenth of a foot, how long is the ladder?

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.