Question

Find the angle of elevation of the sun from the ground when a tree that is 15 yard tall casts a shadow of 24 yards long. Round to the nearest degree.

A 38
B 39
C 63
D 32
E 51

Answer 1

Set your calculator to degree mode.

Please draw the figure to confirm my answer.

`\tan( \alpha ) = (15)/(24)`

`\alpha = {tan}^( - 1) (5)/(8) = 32 \: degrees`

So the angle of elevation is 32°.

D is the correct answer.