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A building is 75 feet tall. The angle between the ground and hypotenuse of the right triangle is 18 degrees. Find the side and hypotenuse lengths.

 Jan 13, 2016
 #1
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Never mind. 242.7 feet tall.

 Jan 13, 2016
 #2
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I think you might have made a slight error???

 

If the building is 75 ft tall......the adjacent side to the given angle - A - can be found thusly :

 

tan(18)   = 75/ A      re-arrange

 

A = 75/ tan(18)  = about 230.826 ft

 

The hypotenuse =

 

sqrt(230.826^2 + 75^2)  = 242.705 ft.   .....note.... this is NOT the building height!!!!......it's the distance from where the angle of elevation was measured to the top of the building

 

 

cool cool cool

 Jan 13, 2016

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