UCSS Math III 3.2.3 Example 1

A surveyor needs to measure the width of a building. He identifies two points [math]E[/math] and [math]F[/math] at ground level on opposite sides of the building. He then walks to a point a distance away from the building: point [math]G[/math]. He measures the distance from [math]E[/math] to [math]G[/math] as [math]284[/math] feet, the distance from [math]F[/math] to [math]G[/math] as [math]322[/math] feet, and the measure of [math]\angle G[/math] as [math]63^\circ[/math]. How wide is the building? Round your answer to the nearest foot, then determine whether it is reasonable given the context of the problem.

 

Walch Education

 
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distance  law-of-cosines  sketch  triangle  width 
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