Question

What is the slant height x of this square pyramid?

Answer 1

Answer: The slant height is 2√3 meters.

Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.

Answer 2

Answer:

= 2√3 m  or 3.464

Step-by-step explanation:

Using the sine,  

sin(60”)  = x / 4   multiply both sides by 4

4 sin (60°)   = x

4 * √3 / 2  =  x  

x = 2√3 m  

slant height  =2√3 m