Question

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 the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge

Enter your answer in the box. Express your answer in radical form.

x = m

Answer 1

Answer:

4√3

Step-by-step explanation:

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Answer 2

Prisms are 3-D shape with triangles and a base. The value of x from the diagram in radical form is 4√3

SOH CAH TOA identity

From the given figure, we are to find the value of "x". To do this, we will use the identity

Given the following parameters

slant height  = 8m

Opposite side = x

Determine the value of "x"

Sin 60 = x/8
x = 8 sin60
x = 8 * √3/2
x = 4√3

Hence the value of x from the diagram in radical form is 4√3

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