The ratio of the height of the pyramid to the edge of the square base is 1.5 to 1. The height of the pyramid is 3 meters. What is the approximate length of the slant height of the pyramid?

Question

anonymous · Answer

A) 4.4 m
B) 3.2 m
C) 2.8 m
D) 1.4 m

SHOW ALL WORK.

anonymous · Answer

when you say the edge of the square base you mean the length of one side of the square base - right?

anonymous · Answer

yes.

anonymous · Answer

length of square edge = 3 / 1.5 = 2
distance of corner of square from middle of square  is by pythagors
sqrt(1^2 + 1^2) = sqrt 2

consider the right angled triangle formed by perpendicular height, distance from center and slant height, by pythagoras
h^2 = 3^2 +( sqrt2)^2
        = 9 + 2 = 11

 = sqrt 11 = approx 3.2
 b)

anonymous · Answer

ok with that?