Question

In right triangle XYZ, the right angle is located at vertex Y. the length of the line segment XY is 12.4 cm. The length of the line segment YZ is 15.1 cm.

what is the approximate measure of angle YZX?

A. 34.8

B. 39.4

C. 50.6

D. 55.2

Answer 1

B ) 39.4

Explanation:

Answer 2

For this case we can use the following trigonometric relationship:
tan (theta) = XY / YZ
Substituting values we have:
tan (theta) = 12.4 / 15.1
Clearing the angle we have:
theta = atan (12.4 / 15.1)
Theta = 39.39256804 degrees
Rounding:
Theta = 39.3 degrees
Answer:
the approximate measure of angle YZX is:
B. 39.4