To find the length of YZ, we can use trigonometry. Since we know the length of XY and the measure of angle Y, we can use the trigonometric ratio of sine.
sin(30 degrees) = opposite/hypotenuse
sin(30 degrees) = YZ/6
Now, we can solve for YZ:
YZ = 6 * sin(30 degrees)
YZ = 6 * 0.5
YZ = 3
Therefore, the length of YZ is 3.
In the right triangle shown, m<Y = 30 degrees and XY = 6. How long is YZ?
1 answer
1 answer