Respuesta :
The length of the base of the pyramid is equals to 142meters (Round to the nearest whole number)
What is square pyramid?
" Square pyramid is defined as the three dimensional figure with square base and the four triangle lateral face which joined at the vertex."
Formula used
tanθ = [tex]\frac{height of the pyramid}{\frac{1}{2} base}[/tex]
θ = angle of the elevation of the base of the pyramid
According to the question,
Height of the pyramid = 91 meters
Angle of elevation of the base of the pyramid = 52°
Substitute the value in the formula we get,
tan52° = [tex]\frac{91}{\frac{1}{2} base}[/tex]
⇒Base = [tex]\frac{2(91)}{tan52}[/tex]
⇒Base = [tex]\frac{182}{1.2799}[/tex]
⇒Base = 142.19
⇒ Base = 142 meters ( Round to the nearest whole number)
Hence, length of the base of the pyramid is equals to 142meters (Round to the nearest whole number)
Learn more about square pyramid here
https://brainly.com/question/22992395
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