A100-foot zip line is attached to a platform. the other end of the zip line is attached to the ground 96 feet from the base of the
platform. the zip line forms a right triangle as shown.
100 ft
96 ft
"not drawn to scale
what is the height, x, of the platform?

28 feet

Step-by-step explanation:

Draw a right triangle.  Label the height X.

Hypotenuse= 100; Base = 96.

Use pythagorean theorem to solve for x.

x^2 + 96^2 = 100^2

x^2+9216 = 10000

x^2= 784

x = 28 feet

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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