SOLUTION: The angle of elevation to the top of the Egyptian pyramid Cheops is 36.4o, measured from a point 350 feet from the base of the pyramid. The angle of elevation of a face of the pyra

Algebra ->  Trigonometry-basics -> SOLUTION: The angle of elevation to the top of the Egyptian pyramid Cheops is 36.4o, measured from a point 350 feet from the base of the pyramid. The angle of elevation of a face of the pyra      Log On


   

Question 1171595: The angle of elevation to the top of the Egyptian pyramid Cheops is 36.4o, measured from a point 350 feet from the base of the pyramid. The angle of elevation of a face of the pyramid is 51.9o. Find the height of Cheops.
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

The basic equation is THIS


    H%2Ftan%2836.4%5Eo%29 - H%2Ftan%2851.9%5Eo%29 = 350 feet.


Using your calculator, find  tan(36.4°)  and  tan(51.4°).


Then compute the values of  a = 1%2Ftan%2836.4%5Eo%29  and  b = H%2Ftan%2851.9%5Eo%29.


Your basic equation takes the form


    aH - bH = 350,   or

    (a-b)*H = 350.


It implies  H = 350%2F%28a-b%29.

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Now boldly go forward and implement my instructions.


Happy calculations (!)