Atriangular 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

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.