Question

A 25 foot tall flagpole casts a 42 feet shadow. what is the angle in which the sun hits the flagpole? (this would be the upper acute angle in the right triangle shown). round your answer to the nearest whole number. enter only a number, with no degree symbol necessary.

Answer 1

arc tan (theta) = opp / adj = 42 / 25
arc tan (theta) = 1.68
 = 59.237 Degrees

Answer 2

The angle with which the sun hits the flagpole is  59.24°

Height of the flagpole = 25 feet

The height  of the shadow of flagpole = 42 feet

We have to determine that with what angle the sun hits the flagpole

Also it is given that  

This would be the upper acute angle in the right triangle whose figure is attached

This can be find out using trigonometric relation for the right triangle formed due to the flagpole and its  shadow

$\rm tan \; \theta = \dfrac{Perpendicular }{Base } = \dfrac{42}{25 } = tan ^-1 ( 42/25) = 1.03 \; radian= 59.24 \textdegree$

So the angle with which the sun hits the flagpole is  59.24°

For more information please refer to the link given below

https://brainly.com/question/6322314