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When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By about how much?

Guest Mar 4, 2017
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Adam is taller.....

 

Adam's height - Mark's height  =

 

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   = 

 

≈ [5.96ft   -  5.46 ft]   =

 

≈ .50  ft    .....    and Adam is ≈  6 inches taller

 

 

cool cool cool

 

.

CPhill  Mar 5, 2017

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