Question

A 24 foot utility pole casts a 32 foot shadow to the nearest degree find angle of elevation of the sun

A)37
B)41
C)49
D)53
For connections academy usa test prep

Answer 1

`\tan\theta=(24)/(32)\implies\theta\approx37^\circ`

Answer 2

37 °

Explanation:

A right angle triangle is formed with the legs of the triangle as 24 foot and 32 foot. let x be the angle of elevation of sun.

For angle x the adjacent side is 32 foot and the opposite side is 24 foot.

Tanx=
`(opposite)/(adjacent)`

Or Tanx =
`(24)/(32)`

`x=Tan^(-1)(24)/(32)`

x=36.86 degrees.

x=37 degrees.

The angle of elevation of the sun is 37°.