Sam sees a rocket traveling straight up at an angle of elevation of 24 degrees. If Sam is located 5 miles from the rocket Launchpad, how high is the rocket?

Question

asked Jan 24, 2021 160k views

1 Answer

Russell Borogove · Answer 1 · 2021-01-31T03:19:02+0000

Given :

Angle of elevation, Ф = 24°.

Distance of Sam from launchpad, D = 5 miles.

To Find :

How high is the rocket.

Solution :

Let, height is h.

We know, tan Ф is given by :

$tan \ \phi=(h)/(d)\\\\tan \ 24^(\circ)=(h)/(5)\\\\h = 5* tan \ 24^(\circ)\\\\h = 2.226 \ miles$

Hence, this is the required solution.