Question

What is the height of a square pyramid with an edge length of 252.1 yds and a slant height of 197.1 yds? Round to the nearest tenth

Answer 1

see attachment

...AHS right-angled triangle

Pythagorean theorem

SH²=SA²-AH²

AH is the half-diagonal

calculate AC² in ACD rectangle

AC²=AD²+DC²

AC²=252.1²+252.1²

AC =V127108.82=356.52....=356.5

AH =1/2AC=178.25=178.3

apply Pythagoras to calculate the height

SH²=SA²-AH²

SH²= 252.1²-178.3²

SH =V31763.52=178.22..=178.2

height = 178.2yards

Explanation: