A boat is 180 feet from the base of cliff. If the distance from the top of the cliff to the boat is 45 more than twice the height of the cliff. Find the height of the cliff. Round to the nearest tenth of a foot if necessary.
A) 135 ft
B) 45 ft
C) 75 ft
D) 100.6 ft

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, let h be the height of the cliff. The distance from the top of the cliff to the boat is 2h + 45. So, (2h + 45)^2 = h^2 + 180^2. Solving for h gives h = 75 ft.

A Boat Is 180 Feet from the Base of Cliff