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40 POINTS + BRAINLIEST!!!!
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 meters
158 meters
191 meters
212 meters

40 POINTS BRAINLIEST 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 class=

Respuesta :

tan (42°) = height / base

base = height / tan(42°)

base = 71/tan(42°)

base = 78.85 m

Now length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7 ≈ 158 m

Option B

The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Calculation of the length of the base:

Since

The height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.

So,

[tex]tan (42) = height \div base\\\\base = height \div tan (42)\\\\base = 71\div tan\ (42)\\\\[/tex]

base = 78.85 m

Now

length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7

≈ 158 m

Hence, The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Learn more about length here: https://brainly.com/question/1797077

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