Question

Brad went skiing at Snowfall Lodge on Cone Mountain (a mountain shaped like a perfect right cone) for his spring break vacation. During his stay, he decided to go down the park's black diamond speed trail which is a straight path down the side of the mountain. The trail starts at the very top of the mountain and is 3,150 feet long. If the radius of Cone Mountain is 1,890 feet, how tall is Cone Mountain? A. 1,260 feet B. 2,835 feet C. 2,520 feet D. 3,675 feet

Answer 1

Using pythagorean theorem:

`{hyp}^(2) = {radius}^(2) + {height}^(2)`

`{height}^(2) = {3150}^(2) - {1890}^(2)`

`height = \sqrt{ {3150}^(2) - {1890}^(2) }`