Question

What is the slant height x of the square pyramid?

Answer 1

Answer:

x=5.196m

Step-by-step explanation:

From the given figure, we have

Consider the triangle ADE, using trigonometry, we have

$\frac{AD}{ED}=cot30^{\circ}$

substituting the given values, we have

$\frac{x}{3}=cot30^{\circ}$

$\frac{x}{3}=\sqrt{3}$

$x=3\sqrt{3}$

$x=3(1.732)$

$x=5.196$

Therefore, the value of the slant height x of the square pyramid is 5.196m.