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? Round your answer to the nearest meter.
(1 point)
91 m
115 m
182 m
230 m
To find the original length of one of the sides of the Great Pyramid of Giza, we can use trigonometry.
We know that the height of the pyramid is 147 meters and the angle of incline is 52°. Let's call the length of one of the sides x.
Using the sine function, we have:
sin(52°) = 147 / x
To find x, we can rearrange the equation:
x = 147 / sin(52°)
Calculating this, we get:
x ≈ 182 meters
Rounded to the nearest meter, the original length of one of the sides of the Great Pyramid of Giza is 182 meters.
Therefore, the correct answer is 182 m.