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The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, what height will the shadow strike the side of the building? (round to nearest tenth)

Guest Apr 9, 2017
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We can use similar triangles here

 

30 / 52   =  H / 20        where H is the height that the shadow stries the building

 

Cross-multiply

 

20 * 30   = 52 * H

 

600 = 52 * H    divide both sides by 52

 

600 / 52  = H  ≈  11.5  ft 

 

Here's a pic :

 

 

 

 

cool cool cool

CPhill  Apr 9, 2017

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