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To measure a stone face carved on the side of a​ mountain, two sightings

750 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 31° and the angle of elevation to the top is

34°​, what is the height of the stone​ face?

The height of the stone face is ___ feet?

 May 11, 2021

Best Answer 

 #1
avatar+37146 
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Remember tangent of right triangle = opposite side/adjacent side ?

 

Tan 34 = top / 750        750 tan 34 = top     similarly for the bottom....subtract the two

 

750 tan34 - 750 tan 31 = height

 May 11, 2021
 #1
avatar+37146 
+3
Best Answer

Remember tangent of right triangle = opposite side/adjacent side ?

 

Tan 34 = top / 750        750 tan 34 = top     similarly for the bottom....subtract the two

 

750 tan34 - 750 tan 31 = height

ElectricPavlov May 11, 2021

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