Answer:
Step-by-step explanation:
Drop an altitude from the left angle so that it is perpendicular to x
The hypotenuse created by this altitude is 15 cm
The 28 degree angle is opposite the altitude.
Sin(28) = opposite / hypotenuse
opposite = the altitude
hypotenuse = 15 cm
Reference angle = 28 degrees.
Sin(28) = altitude / 15 Multiply both sides by 15
15 sin(28) = altitude
Sin(28) = 0.4695
altitude = 15*0.4695
altitude = 7.0421
Now we can solve for x
Area = 1/2 altitude * x
Area = 1/2 * 7.0421 * x
60 cm^2 = 3.521 * x Divide both sides by 3.521
60 / 3.521 = x
x = 17.04
