Find the length of the base of the following pyramid, given the height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°. Round to the nearest whole number.

Question

Jeffrey Reese

Mathematics

22 December, 13:10

Find the length of the base of the following pyramid, given the height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°. Round to the nearest whole number.

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Answers (1)

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Yasmin Fletcher · Answer 1

A pyramid's face may be viewed as two right triangles joined back to back. Therefore, we can use

tan (∅) = height/base

To calculate the base of one of the triangles and then multiply it by 2 to get the base length of the pyramid.

tan (42°) = 71/base

base = 79 meters

Base of pyramid = 2 x 79

= 158 meters