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19 December, 14:18

According to historical records, the Great Pyramid of Giza was originally about 147 meters tall. Assuming it was built with its faces at a 52° incline, which of the following is the original length of one of its sides? a. 91 m.

b. 115 m.

c. 181 m.

d. 230 m.

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  1. 19 December, 15:43
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    115m

    Step-by-step explanation:

    Note that one of the face of a pyramid is a right angled triangle.

    Since the pyramid was about 147m tall, the height of triangle will be 147m. If one of the faces is built with one of its faces at 52° to the incline, we can find the original length of one of its sides using SOH CAH TOA

    tan (theta) = opposite/adjacent

    Given theta = 52°, opposite = 147m (the side directly opposite the angle)

    Substituting we have;

    Tan52° = 147/adjacent

    Adjacent = 147/tan52°

    Adjacent = 114.8m

    = 115m

    Therefore 115m is the original length of one of its side
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