Question

What is the slant height x of this square pyramid? (Express your answer in radical form.)

Answer 1

This is a 30,60,90° triangle where the hypotenuse is equal to 4 meters and the slant height is opposite the 60° angle

The ratios of the sides and their opposite angle for this type of triangle are:

1,30°, √3, 60°, and 2, 90° so the relationship we need is:

x/4=√3/2  multiply both sides by 4

x=2√3