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A tall pole is constructed in a flat parking lot; the pole stands straight up and forms a right angle with the ground. The pole casts a shadow, as shown below. The length of the shadow is 12 feet. Find the height of the pole, to the nearest foot. You may use a calculator. Answer with an exact number.

 Aug 4, 2020
 #1
avatar+28021 
+2

Tan 70   =  opposite side /adjacent side 

tan70 = height / 12        solve for height

 Aug 4, 2020
 #2
avatar+1038 
+5

Because this is a right triangle, the angels are 90, 70, and 20. Use Law of Sines to figure out the pole: https://www.mathsisfun.com/algebra/trig-sine-law.html

 

(create a proportion with 70 degrees, 20 degrees, 12 and x for the missing side)

 Aug 4, 2020

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