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A plot of land in the shape of a quadrilateral is enclosed by a fence. One side of fence measures 78 feet and an adjacent side of fence measures 135 feet. The diagonal of the quadrilateral forming a triangle with these two sides measures 174 feet.

 

What is the measure of the angle between the two sides of fencing?

 Apr 23, 2020
 #1
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I would use cosin rule

 

c^2  = a^2 + b^2 - 2ab cos c

174^2   =   78^2   +   135^2   -   2 (78)(135) cos c                  solve for cos c     then find  angle measure c   via   arc cos

 Apr 23, 2020

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