please help!

 

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 65^o angle, i.e., the shadow, is 60 feet 

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

 

                                                    tangent 65^o  =  tower / shadow 

 

look up tan65                                       2.1445  =  tower / 60

multiply both sides by 60                      128.67  =  height of tower 

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