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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

 Dec 15, 2018
 #1
avatar+103913 
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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

 

 

 

cool cool cool

 Dec 15, 2018

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