in right triangle xyz, the right angle is located at vertex y. the length of line segment xy is 12.4 cm. the…

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. which is the approximate measure of angle yzx? 34.8° 39.4° 50.6° 55.2°

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. which is the approximate measure of angle yzx? 34.8° 39.4° 50.6° 55.2°

Answer

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle (XYZ) with right - angle at (Y), (\tan(\angle YZX)=\frac{XY}{YZ}).

Step2: Substitute given values

Given (XY = 12.4) cm and (YZ = 15.1) cm, then (\tan(\angle YZX)=\frac{12.4}{15.1}\approx0.8212).

Step3: Find the angle

(\angle YZX=\arctan(0.8212)). Using a calculator, (\angle YZX\approx39.4^{\circ}).

Answer:

39.4°