Answer:
89.57in
Explanation:
Given the following
Slant height of the pyramid l = 90.4in
Length of one side of the base b =24.4in
Required
Height of the pyramid H
To get the height we will use the Pythagorean theorem as shown
l² = h²+(b/2)²
Substitute the given values
90.4² = h²+(24.4/2)²
90.4² = h²+12.2²
h² = 90.4²-12.2²
h² = 8023.32
h = √8023.32
h = 89.57in
Hence the height of the pyramid is 89.57in