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

Mathematics

Izabella Berry

25 March, 23:05

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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Isiah · 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