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. 127 feet
158 feet
191 feet
212 feet

158 feat

Step-by-step explanation:

The formula used in calculating the length of the base of a pyramid is tan(∅) = height/base

To calculate the length of the base of the pyramid,

tan(42°) = 0.9004

Since the height is 71 meters we then multiply it by 2

2 x 71 = 142 meters

Since tan(∅) = height/base

0.9004 = 142/X

We cross multiply

0.9004x = 142

we divide both sides by 0.9004

X = 142/0.9004

X = 157.7

X = 158 feat