What is the slant height x of the square pyramid?

The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of half of the base edge is 3 meters. The lateral edge makes a 30 degree angle with the lateral height.

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What is the slant height x of the square pyramid The figure shows a square pyramid The slant height is shown as a dashed line perpendicular to the base edge and class=

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Answer:

[tex]3\sqrt3[/tex]

Step-by-step explanation:

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The slant height of the square pyramid comes to be [tex]3\sqrt{3}[/tex] m.

What is a square pyramid?

A type of pyramid the base of which is a square called a square pyramid.

Applying trigonometric ratio [tex]tan\theta[/tex] to find slant height x

[tex]tan 30 = \frac{3}{x}[/tex]

[tex]\frac{1}{\sqrt{3} } =\frac{3}{x}[/tex]

[tex]x=3\sqrt{3}[/tex] m

So, the slant height of the given pyramid = [tex]3\sqrt{3}[/tex] m.

Hence, The slant height of the square pyramid comes to be [tex]3\sqrt{3}[/tex] m.

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