if the area of △ABC=92.5 Km^2, ∠C=73 degrees, abd b=16 km, then what is the length of a to the nearest km if the sin is 15.3008
To solve for the length of side a, you can use the formula for the area of a triangle:
Area = (1/2) * b * a * sin(C)
Plugging in the given values:
92.5 Km^2 = (1/2) * 16 km * a * sin(73 degrees)
To solve for a, divide both sides by (1/2) * 16 km * sin(73 degrees):
a = (92.5 Km^2) / (8 km * sin(73 degrees))
a = 11.5625 / sin(73 degrees)
Now, divide 11.5625 by sin(73 degrees):
a ≈ 11.5625 / 15.3008 ≈ 0.7574 Km
To the nearest kilometer, the length of side a is 1 Km.