Question

A sign on a roadway at bottom of a mountain road indicates that the road will incline 10.5° with the ground. The altitude for a car ascending up the mountain road is 3,850 ft. Find the length of the mountain road in miles.

Answer 1

Answer: 3.94 miles

Step-by-step explanation: To find the length of the mountain road, we use the tangent function. The opposite side is the altitude of the car (3,850 ft) and the adjacent side is the length of the mountain road. We solve for the adjacent side and convert from feet to miles.

Therefore, the length of the mountain road is approximately 3.94 miles.