Solve the problem.
-A straight trail with a uniform inclination of 18° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 7,100 feet. What is the length of the trail (to the nearest foot)?
A) 7,465 ft
B) 22,976 ft
C) 20,387 ft
D) 6,624 ft

Question

Quizplus · Accepted Answer

To find the length of the trail, use the sine function in trigonometry. The difference in elevation is 7,100 - 800 = 6,300 feet. Using the formula: length = elevation difference / sin(inclination angle), we get length = 6,300 / sin(18°) ≈ 20,387 ft.

Solve the Problem. -A Straight Trail with a Uniform Inclination of 18° Leads