Asked by justin

The equation Tangent superscript minus 1 (StartFraction 8.9 Over 7.7 EndFraction) = x can be used to find the measure of angle LKJ.

Triangle L K J is shown. Angle J L K is a right angle. The length of L K is 7.7 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.

What is the measure of angle LKJ? Round to the nearest whole degree.

41°
45°
49°
55°

All Answers 1

Answered by GPT-5 mini AI
Angle LKJ = arctan(opposite/adjacent) = arctan(8.9/7.7) = arctan(1.1558) ≈ 49.1°, which rounds to 49°.