The best approximation for the measure of angle XYZ in the given triangle is 39.8 degrees.
To solve this we can use the trigonometric ratio tangent.
What is the trigonometric ratio tangent?
tan x = opposite side / adjacent side
We have given the,
Opposite side=10in
Adjacent side=12in
use this value in the gven formula
Therefore we get,
tanx = 10/12
tanx = 0.8333...
x = tan⁻¹(0.8333..)
x = 39.8°
Therefore, The best approximation for the measure of angle XYZ is 39.8 degrees.
To learn more about the trigonometric ratio visit:
https://brainly.com/question/24349828#SPJ3
