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The fireman is 1.8 meters tall and the length of his shadow is 3 meters. If the length of the buildings shadow is 26.4 meters calculate the height of the building and the angle of elevation to the sun?

Trigonometry  Feb 11, 2017
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 #1
avatar+5950 
+7

The height of the building over the height of the man equals the length of the building's shadow over the length of the man's shadow.

 

h/1.8 = 26.4/3

 

h = 15.84

 

The height of the building is 15.84 meters.

 

The tangent of the angle of elevation to the sun is 15.84/26.4

 

tan a = 15.84/26.4

a = arctan 0.6

 

The angle of elevation to the sun is approximately 30.964 degrees.

hectictar  Feb 11, 2017
 #2
avatar+81142 
+1

Nice, hectictar.....!!!!

 

 

cool cool cool

CPhill  Feb 11, 2017

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