If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure?

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the figure is equal to the surface area of a square prism without the top plus the surface area of a square pyramid without the base

so

Find the slant height (l) of pyramid

Applying the Pythagorean Theorem

substitute the given values

Find the surface area

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answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,