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The Statue of Liberty is 305.5 feet high. The sun is casting a shadow of the statue onto the water. The angle of elevation from the tip of the shadow to the top of the statue is 50°. What is the approximate distance to the tip of the shadow from a point at water level and directly below the highest point of the statue?
256 ft

364 ft

399 ft

 May 4, 2015

Best Answer 

 #1
avatar+130516 
+5

We have :

tan 50  = 305.5 / d     where d is the distance we're trying to find  .....rearranging, we have....

d = 305.5 / tan 50 = about 256.34 ft  = 256 ft to the nearest foot.....

 

  

 May 4, 2015
 #1
avatar+130516 
+5
Best Answer

We have :

tan 50  = 305.5 / d     where d is the distance we're trying to find  .....rearranging, we have....

d = 305.5 / tan 50 = about 256.34 ft  = 256 ft to the nearest foot.....

 

  

CPhill May 4, 2015

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