A common design for a mountain cabin is an A-frame

cabin. A-frame cabins are fairly easy to construct and

the steeply pitched roof line is perfect for helping snow

fall to the ground during heavy winters. Determine the

angle ( between the two sides of the roof of an A-frame

cabin if the sides are both 26 feet long and the base of

the cabin is 24 feet wide.

54.98 degrees.

Step-by-step explanation:

In the diagram, the sides of the A-Frame are lengths AB and BC. The width of the cabin is length BC. We are to determine the measure of the angle at B, i.e. the angle between the two sides of the roof.

Using Cosine Rule:

The angle in between the two sides of the roof is 54.98 degrees.

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step-by-step explanation:

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