A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Please show STEP-BY-STEP work and explanation, I'm really trying to understand and learn from this.

*i think this is what they triangle would look like...

Thank you

KennedyPape Dec 15, 2018

#1**+2 **

Not that difficult.....

We know an opposite side to the angle [ the height of the pole]

And we know the adjacent side to the angle [ the shadow length ]

"x" is the elevation angle [ what we are looking for ]

So....the trig function that relates opp / adj is the tangent

So....we have

tan x = 38 /53

Now....to find the angle use the tangent inverse

The other problem I anwered went through this step-by-step.....let me know if you didn't understand it......

So

arctan (38/53) ≈ 35.64° = 36° = x

CPhill Dec 15, 2018