Question 223727: the science club wants to find out the height of the schools flagpole. they found out that it the rope attached to the top off the pole was lengthened it formed an angle of 60 degrees wih the ground 14 ft from the base of the pole what is the height of the pole...show all work
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! A rough sketch helps visualize,,,,,,this is a rt triangle,,hypotenuse is rope, height is one leg adjacent to 60 degree angle, and height(h) is opposite 60 degree angle.
Tan = opposite / adjacent
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tan 60 = h/ 14,,,,,or h= 14 tan 60 = 14 * 1.732 = 24.248 ft
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check,,,angle = tan^-1 (24.248/14) = 60 degrees,,,,,ok
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