Answer:
x=5.196m
Step-by-step explanation:
From the given figure, we have
Consider the triangle ADE, using trigonometry, we have
[tex]\frac{AD}{ED}=cot30^{\circ}[/tex]
substituting the given values, we have
[tex]\frac{x}{3}=cot30^{\circ}[/tex]
[tex]\frac{x}{3}=\sqrt{3}[/tex]
[tex]x=3\sqrt{3}[/tex]
[tex]x=3(1.732)[/tex]
[tex]x=5.196[/tex]
Therefore, the value of the slant height x of the square pyramid is 5.196m.
