Question

An airplane over the Pacific sights an atoll at 20 degree angle of depression. If the plane is 425 m above water, how many kilometers is it from a point 425 m above the center of the atoll?

Answer 1

`1.167 km`

Explanation:

We are given with-

Height of airplane from water
`a` =
`425 m`

Angle of depression (∅)= 20°

Now,

`tan(20) = (b)/(a)`

`a = (b)/(tan(20)) \\a = (425)/(tan(20) \\a = 1167.677 m`

`a = 1.167 km`