Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest
tenth of a degree.
-A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 700 feet to a mountain lake at an elevation of 7300 feet. What is the length of the trail (to the nearest foot)?
A) 34,590 feet
B) 38,258 feet
C) 6724 feet
D) 7437 feet

Question

Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest
tenth of a degree. 
-A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 700 feet to a mountain lake at an elevation of 7300 feet. What is the length of the trail (to the nearest foot)?
A) 34,590 feet 
B) 38,258 feet 
C) 6724 feet 
D) 7437 feet

Quizplus · Accepted Answer

The correct answer is A.The length of the trail can be found using the formula:length = (elevation change) / (sin(inclination))In this case, the elevation change is 7300 - 700 = 6600 feet, and the inclination is 11°. So, the length of the trail is:length = 6600 / sin(11°) = 34,590 feet (to the nearest foot)

Solve the Right Triangle Shown in the Figure