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?

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