Question

A stainless steel patio heater is shaped like a square pyramid. The length of one side of the base is 19.8 inches. The slant height is 92.8 inches. What is the height of the heater? Round to the nearest tenth of an inch.

Answer 1

Answer:

Step-by-step explanation:

You can look at the photo for more information:

Use the pythagorean theorem to solve this problem

$height^{2} = slant height^{2} - half of base diagonal^{2}$  

= $92.8^{2} -19.8^{2}$

= 8219.8

Then square root it, we have: $\sqrt{8219.8}$ = 90.66

So the height is: 90.66