Question

Right triangle $LMN$ is drawn on paper. The right angle is located at vertex $L$ with side length $MN$ as the hypotenuse. The side length measurements are $LM = 8$ units, $MN = 10$ units, and $NL = 6$ units. What is the approximate angle measure at vertex $N$?Answer Choices$37^\circ$$53^\circ$$39^\circ$$31^\circ$

Answer 1

Angle N is acute and opposite side LM = 8, with hypotenuse 10, so sin N = 8/10 = 0.8. Thus N = arcsin(0.8) ≈ 53°. Answer: 53°.