Question

In △ WXY, w=670cm, y=800cm and ∠ Y=84°. Find all possible values of ∠ W , to the nearest 10th of a degree.

Answer 1

To find all possible values of angle W in triangle WXY, we can use the sine law.

Step-by-step explanation:

To find all possible values of angle W in triangle WXY, we can use the sine law. The sine law states that in a triangle, the ratio of the length of a side to the sine of the opposite angle is constant. In this case, we know the length of side WY (800cm) and the measure of angle Y (84°). We need to find the length of side WX and the measure of angle W.

Using the sine law, we can set up the following equation: WX/sin(W) = WY/sin(Y)

Plugging in the given values, we get: WX/sin(W) = 800/sin(84°)

Now we can solve for angle W by rearranging the equation: sin(W) = WX / (800/sin(84°))

Finally, we can use inverse sine (sin⁻¹) to find the value of angle W.