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22 September, 04:28

A triangular plot of land has one side along a straight road measuring 294 feet. a second side makes a 63degrees angle with the road, and the third side makes a 56degrees angle with the road. how long are the other two sides?

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  1. 22 September, 04:47
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    The side across from the 63° angle is 299.5 ft and the side across from the 56° angle is 278.7 ft.

    We will use the Law of Sines to solve this. First, the angle across from the 63° angle:

    sin 61/294 = sin 63/x

    Cross multiply:

    x*sin 61 = 294 sin 63

    Divide by sin 61:

    (x sin 61) / (sin 61) = (294 sin 63) / (sin 61)

    x = 299.5

    For the side across from the 56° angle:

    sin 61/294 = sin 56/x

    Cross multiply:

    x*sin 61 = 294 sin 56

    Divide both sides by sin 61:

    (x sin 61) / (sin 61) = (294 sin 56) / (sin 61)

    x = 278.7
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