Question

A hiker at the top of a mountain spots his car back in the parking lot at the

bottom of the trail. If the trail is 632 meters long and the mountain is 420
meters tall, what is the angle of depression from the hiker to his car?
Round to the nearest tenth of a degree (don't include the degree in your
answer)

Answer 1

The angle of depression from the hiker to his car, Θ = 56.39 degrees

Explanation:

A hiker at the top of a mountain spots his car back in the parking lot at the

bottom of the trail. If the trail is 632 meters long and the mountain is 420

meters tall,

opposite side = 632 m

adjacent side = 420 m

Angle of depression, Θ = arctan
`((opposite)/(adjacent) )`

= arctan
`((632)/(420) )`

Θ = 56.39 degrees