Question

What is the slant height x of the square pyramid?

Answer 1

x=5.196m

Explanation:

From the given figure, we have

Consider the triangle ADE, using trigonometry, we have

`(AD)/(ED)=cot30^(\circ)`

substituting the given values, we have

`(x)/(3)=cot30^(\circ)`

`(x)/(3)=√(3)`

`x=3√(3)`

`x=3(1.732)`

`x=5.196`

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