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For the given triangle, x measures 437.3 feet.

Step-by-step explanation:

Step 1:

The total angle of a right-angle is 90°. There is a right angle at the top of the triangle.

The sum of the top angle of the triangle and the given 29° is 90°.

So the angle of the triangle

So the angle of the triangle at the top end is 61°.

Step 2:

For the top angle, x is its opposite side while the hypotenuse is represented by the side measuring 500 feet.

To determine the value of x, we determine the sine of the angle.

So rounding this off, we get x measures 437.3 feet.

d

step-by-step explanation:

d