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MATH SOLVE
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Consider the diagram shown where the sun is 20° above the horizon. How long is the shadow cast by a...
4 months ago
Q:
Consider the diagram shown where the sun is 20° above the horizon. How long is the shadow cast by a building 150 ft tall? (to the nearest ft)
Accepted Solution
A:
First draw a right triangle
The building is the vertical leg and the shadow is the horizontal leg
the hypotenuse makes a 20 degree angle with the top of the building
call the shadow "x"
tan=opposite/ adjacent
tan(20Âş)=150/x
x=150/tan(20Âş)
x=150/0.36397
x=412.121
Therefore the answer is 412 Feet