Question

What is the slant height x of the square pyramid? 30° 3 m

Answer 1

We solve using the law of sines:

*We can tell the missing angle equals 60° and from this:

$\frac{3}{\sin(30)}=\frac{x}{\sin (60)}$

Now, we solve for x, that is:

$x=\frac{3\sin(60)}{\sin(30)}\Rightarrow x=3\sqrt[]{3}\Rightarrow x\approx5.2$

From this, we have that the length of x is of aproximately 5.2 meters.