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At a horizontal distance of 34 meters from the base of a tower, the angle of elevation to the top is 72 degrees. Find the height of the tower to the nearest tenth of a meter.

How would I set this up as a drawing

 Jun 21, 2014

Best Answer 

 #3
avatar+130511 
+5

Note that we know an angle and an adjacent side to that angle. And we want to find the opposite side.....

( the tower's height). The function that relates these is the tangent.

So we have....

tan(72) = opp/34      .......multiply both sides by 34

34tan(72) = opp ≈ 104.64m

 

 Jun 21, 2014
 #1
avatar+130511 
+5

Something like this:

 

AB is the horizontal distance from the base (34m) and BC is the height (104.64m) of the tower.

 

 Jun 21, 2014
 #2
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0

where did the 104.64 come from?

 Jun 21, 2014
 #3
avatar+130511 
+5
Best Answer

Note that we know an angle and an adjacent side to that angle. And we want to find the opposite side.....

( the tower's height). The function that relates these is the tangent.

So we have....

tan(72) = opp/34      .......multiply both sides by 34

34tan(72) = opp ≈ 104.64m

 

CPhill Jun 21, 2014
 #4
avatar
0

I just got that too I guess I did it wrong the first time because I got 35.7 by using the sin function 

 Jun 21, 2014
 #5
avatar+130511 
0

Yeah....the sine relates the opposite and hypoteneuse.......that wouldn't work here....

 Jun 21, 2014

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