RICARDO B. answered • 07/08/16

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asked • 07/08/16A flag pole stands at a right angle to the horizontal at the bottom of a slope.The slope has an incline of 8 degrees with the horizontal.The flag pole casts a 20 meter long shadow up the slope.The angle of elevation of the sun is 17 degrees.Determine the height of the flagpole

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RICARDO B. answered • 07/08/16

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New to Wyzant
Teaching is my passion forever.

Kenneth S. answered • 07/08/16

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Algebra II EXPERT will help you survive & prosper

I drew a figure representing this situation. Place a vertical segment TB on the horizon; points T & B are the top and botom endpoints of the flagpole. The Sun can be placed to the left & above TB such that the angle of elevation to Sun from T is 17^{o}. Extend the Sun's ray passing through T downward & to the right such that it intersects, at X, the inclined hill.

Triangle TBX has interior angles measuring 73, 82 and 25 degrees, respectively.

The shadow,BX, is 20 m. Use the Law of Sines: 20/sin73 = TB/sin25 to get TB = 8.839 meters.

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