Question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 21.6 in. The slant height of the pyramid is 88.6 in. What is the height of the​ pyramid? NEED ANSWERED ASAP! Its due tomorrow

Answer 1

Answer: 87.3 inches

Step-by-step explanation: The height of the pyramid is the hypotenuse of a right triangle whose legs are the height and half the length of the base.

Let h be the height of the pyramid, then:

h^2 + (21.6/2)^2 = 88.6^2

h^2 + 233.28 = 7857.96

h^2 = 7624.68

h = 87.3 inches (rounded to one decimal place)

Therefore, the height of the stainless steel patio heater is approximately 87.3 inches.