Solve the problem.
-Two hikers on opposite sides of a canyon each stand precisely 525 meters above the canyon floor. They each sight a landmark on the canyon floor on a line directly between them. The angles of depression from each hiker
To the landmark meter are 37° and 21°. How far apart are the hikers? Round your answer to the nearest whole
Meter.
A) 2064 m
B) 2065 m
C) 1064 m
D) 2063 m

Question

Quizplus · Accepted Answer

Using trigonometry, the distance between the hikers can be calculated using the tangent of the angles of depression. The total distance is the sum of the distances from each hiker to the landmark, which is 525/tan(37°) + 525/tan(21°). This results in approximately 2064 meters.

Solve the Problem. -Two Hikers on Opposite Sides of a Canyon Each Stand