Question

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 degrees. Round to the nearest whole number

Answer 1

Answer:

its 158 meters!

Step-by-step explanation:

i took the test:)

Answer 2

To solve such problems we must know about Pyramid.

The side of the pyramid is 158 meters.

Given to us,

• Height of the Pyramid = 71 meters
• Angle of elevation =42°

For the triangle

When the pyramid will be seen from the side view it will form a right-angled triangle consisting of the height of the pyramid, the Side of the base, and the slant height. As shown in the below image,

$Tan{(\angle elevation}) = \dfrac{Height\ of\ the\ pyramid}{half\ the\ Side\ of\ the\ base}$

$Tan(42^o)=\dfrac{71\ meters}{half\ the\ Side\ of\ the\ base}\\\\\\ {half\ the\ Side\ of\ the\ base} = 78.853\ m$

Thus, the half side of the base of the pyramid is equal to 78.853meters.

Length of the Side

Length of the Side = $2\times {Half \ the\ side\ of\ the\ base}$

                               = 2 x 78.853meters

                               = 157.7 meters ≈ 158 meters

Hence, the side of the pyramid is 158 meters.

Learn more about Pyramid:

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