Question

An eagle is flying 2375 ft above the ground and spots a rodent that is 5280 ft away. What is the angle of depression from the eagle to the rodent?

Answer 1

Angle of depression from the eagle to the rodent is `26.73^0`

Explanation:

Eagle's eye spots a rodent at `h=5280` ft away from it.

The eagle is at a height of `p=2375` ft above the ground.

The eagle, ground and rodent form a right triangle .

Let the angle of depression be `theta :.sin theta = p/h=2375/5280`

or `sin theta = p/h=0.4498 :. theta=sin^-1(0.4498)=26.73^0`

Angle of depression from the eagle to the rodent is `26.73^0`[Ans]