Question 398570: The angle of elevation from an observer at ground level to a vertically ascending rocket measures 55 degrees. If the observer is located 5 miles from the lift-off point of the rocket, what is the altitude of the rocket?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The angle of elevation from an observer at ground level to a vertically ascending rocket measures 55 degrees. If the observer is located 5 miles from the lift-off point of the rocket, what is the altitude of the rocket?
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Draw the picture.
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Label to base as 5 miles.
The side opposite the 55 degree angle is "h":
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tan(55) = h/5 miles
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h = (5 miles)*tan(55)
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h = 5*1.4281..
h = 7.1407 miles
OR
height = 7.1407*5280 ft = 37,703 ft
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Cheers,
Stan H.
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