Geometric Giovanni is a whopping 7 ft tall. He’s waiting for his friends 13 ft away from the movie theater. As he gazes up to the top of the movie theater, he notices that he is looking up at a #43°# angle How tall is the movie theater? (Draw a diagram)

1 Answer
Jul 25, 2017

The heigh of the movie theater is#~~19# ft tall

Explanation:

Given: GG = #7# ft tall. He's #13# feet horizontally from the movie theater. The angle of elevation #= 43^@#

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Using trigonometry: #(tan 43^@)/1 = y/13#

Using the cross product: #y = 13 tan 43^@ ~~12.12# ft

The heigh of the movie theater # = 12.12 + 7 ~~19.12# ft