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The Vietnam Veteran’s Memorial in Washington, D.C. consists of two walls of black, polished granite, each 246.75 feet long, which meet at an angle of 125.2°. If extended, the west wall would reach to the Lincoln Memorial, 900 feet away from the end of the wall, and the east wall would reach to the Washington Monument 3,500 feet away from the end of the wall. Find the distance between the Lincoln Memorial and the Washington Monument to the nearest foot.

 Feb 17, 2021
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Total  length of  one wall   = 246.75  + 900   =  1146.75

Total length of  the other  wall  = 246.75  +  3500   = 3746.75

 

Distance  between the  two wall ends using the Law of Cosines

 

distance  =  sqrt   (  1146.75^2  + 3746.75^2  - 2 ( 1146.75 * 3746.75) cos ( 125.2°) )  ≈ 4506 ft

 

 

cool cool cool

 Feb 17, 2021

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