The picture shows a barn door:

A barn door has two parallel bars. A support AB runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 45 degrees. The distance between the two parallel bars is 7 feet.

What is the length of the support AB?

Question

The picture shows a barn door:

A barn door has two parallel bars. A support AB runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 45 degrees. The distance between the two parallel bars is 7 feet.

What is the length of the support AB?

Vocaloid · Answer

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you have the angle, the opposite side, and you want the hypotenuse

therefore sin(theta) = opposite/hypotenuse is the appropriate ratio
fill in the #'s from the problem