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A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65°. how tall is the tower?

 Apr 15, 2020
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A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65°. how tall is the tower? 

 

The tower, the shadow, and a line from the top of the tower to the tip of the shadow form a right triangle.   

 

You know the side adjacent to the 65o angle, i.e., the shadow, is 60 feet 

And you have the angle.  The tangent of 65o equals the tower divided by the shadow. 

 

                                                    tangent 65o  =  tower / shadow 

 

look up tan65                                       2.1445  =  tower / 60

multiply both sides by 60                      128.67  =  height of tower 

.

 Apr 15, 2020

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