In right triangle xyz, the right angle is located at vertex y. the length of line segment xy is 12.4 cm. the length of line segment yz is 15.1 cm. unit test

39.4°

Step-by-step explanation:

Complete Question: In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. What is the approximate measure of angle YZX?

Applying trigonometric ratio to right angled triangle XYZ,

      tan θ

Calculating for ∠YZX, ∠YZX = θ

      tan θ

      tan θ  = 0.8212

            θ  = tan⁻¹ 0.8212

            θ  = 39.39°

            θ  ≈ 39.4°

a² + b²= c²

24² + 7² = c²

c= 25

a - base

b - exponent

so,