Question

Two birds sit at the top of two different trees 17.8 feet away from one another. The distance between the first bird and a bird watcher on the ground is 37.4 feet.

What is the angle measure, or angle of depression, between this bird and the bird watcher?
25.5°

64.5°

28.4°

61.6°

Answer 1

trigonometry.. can u use cos function ??

Cos A = adj/ hyp..

Answer 2

i dont get it so what would the answer be @Ganpat

Answer 3

He means to say that:

\[\large \cos(x) = \frac{17.8}{37.4}\]

Answer 4

Divide the right hand side first...

Answer 5

0.47593582887701 is what i got

Answer 6

Now take it cos inverse..

Answer 7

\[\large x = \cos^{-1}(0.47593582887701) = ??\]

Answer 8

61.57970074532342906961 so 61.6

Answer 9

Well Done...

Answer 10

thank you

Answer 11

Say to @Ganpat

Answer 12

lol thank you @Ganpat

Answer 13

\[x= \text{ArcCos}\left[\frac{178}{374}\right]180/\pi =61.5797{}^{\circ} \]

Answer 14

thanks to everyone :)