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The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from the base of the flag pole, how tall is the pole to the nearest foot?
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does it mean this? |dw:1336512429373:dw|
this
ooooooooooh ok, then the ratios of your triangle are \(1:\sqrt{3}:2\) for short side : long side : hypotenuse
since your long side is 75, the short side must be \(\frac{75}{\sqrt{3}}\)
A) 38 feet B) 43 feet C) 53 feet D) 106 feet
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and so the height is \[\frac{75}{\sqrt{33}}\] or approximately 43.3
ok i guess you should go with B, 43
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