In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 92 m and side
C = 137 m. Round to the nearest degree.
A)42°
B)52°
C)46°
D)40°

Question

Quizplus · Accepted Answer

Since triangle ABC is a right-angled triangle with angle C as the right angle, we can use trigonometric ratios to find the measure of angle B. Using the tangent function, which is opposite/adjacent in a right-angled triangle, we have tan(B) = b/C = 92/137. Calculating the arctan or inverse tangent of 92/137 gives us an angle B close to 42 degrees when rounded to the nearest degree.

In Triangle ABC, Angle C Is a Right Angle