Question

BC=
Round to the nearest hundred

Answer 1

a = 2.28

Explanation:

BC = a

`(a)/( \sin(A) ) = (c)/( \sin(C) ) \\ (a)/( \sin(50) ) = (3)/( \sin(90) ) \\ (a)/(0.76) = (3)/(1) \\ a * 1= 3 * 0.76 \\ a = 2.28`

Answer 2

2.3 units

Explanation:

The unknown side is opposite the given angle 50 degrees, and the length of the hypotenuse is 3 units.

Since sin Ф = opp / hyp, we have here sin 50° = x/3, or x = 3 sin 50°.

Using a calculator, we find that the sine of 50° is 0.776.

Therefore, x = 3(0.766) = 2.298 units, or approximately 2.3 units