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The triangle ABC, which is not drawn to scale, represents a roof space with a span...

The triangle ABC, which is not drawn to scale, represents a roof space with a span of 12 m. The roof slopes at an angle X on one side and an angle Y on the other, producing an angle Z at the apex.

If X = 49o and Y = 33o, calculate the lengths of the sides of the roof, AC and BC. Give your answers in m, to 2 decimal places.

AC length:

BC length:

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