Question

Find the length of the base of the following pyramid, given the height of the pyramid is 211 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number.

Options:

A. 75 meters

B. 189 meters

C. 224 meters

D. 478 meters

Answer 1

The length of the base of the pyramid is 224 meters.

Step-by-step explanation:

To find the length of the base of the pyramid, we can use the trigonometric relationship between the height and the angle of elevation of the base. In this case, the height of the pyramid is given as 211 meters and the angle of elevation is 62°.

We can use the tangent function to find the length of the base. Tangent(angle of elevation) = opposite/adjacent = height/base. Rearranging the formula, we have base = height/tan(angle of elevation).

Substituting the given values, base = 211/tan(62°) = 224 meters (rounded to the nearest whole number).