Question

Two birds sit at the top of two different trees 57.4 feet away from one another. The distance between the second bird and a bird watcher on the ground is 49.6 feet.

What is the angle measure, or angle of depression, between the first bird and the bird watcher?
30.2°
59.8°
40.8°
49.2°

Answer 1

@ganeshie8

Answer 2

@FaiqRaees do you know?

Answer 3

We know the measure of the opposite and adjacent sides.
You can use tangent to find the angle

Answer 4

Alright. how do i do that?

Answer 5

tan(x) = (49.6/57.4) (opp/adj)

x = tan^-1(49.6/57.4)

That's the inverse tangent. There should be an option on your calculator for that.

Answer 6

Find the tan of 49.6/57.4

You need to use a calculator.

Answer 7

ok so i need to divide 49.6 by 57.4 then hit tan on my calculator?

Answer 8

@MathMusician @Aveline

Answer 9

\[\tan^{-1} (\frac{ 49.6 }{ 57.4 })\]

Answer 10

I got 40.83

Answer 11

Correct

Answer 12

Alright. so that is the answer. Thank you so much!