A building that is 750 feet tall casts a shadow the is 111 feet long. find the angle of of elevation, in degrees, to the sun.

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01-12-2017
Mathematics

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A building that is 750 feet tall casts a shadow the is 111 feet long. find the angle of of elevation, in degrees, to the sun.

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kritter1 kritter1 · Answer 1 · 2017-12-01T11:05:28+01:00

kritter1 kritter1

01-12-2017

Imagine the shadow and the building height forms a right angle triangle;

We know the height and the shadow make up the "legs" of the triangle,

a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft

Hope I helped :)

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