First, we need to convert this angle from degrees to radians since the trigonometric functions in mathematics use radians. The conversion is as follows: 27 degrees is approximately 0.4712389 radians.
We assume we are working with a right triangle, and we know one side (z) and an angle (theta), our task is to find the length of another side (y). We use tangent function to solve this because it relates an angle in a right triangle to the ratio of its opposite side to its adjacent side.
We substitute z = 19 and theta = 0.4712389 radians into the formula:
y = z * tan(theta)
This gives us:
y = 19 cm * tan(0.4712389 radians)
After calculating this, we can approximate the length of y to be approximately 9.68098354 cm.
Finally, rounding to the nearest tenth gives us about 9.7 cm.
So, the length of y is approximately 9.7 cm.