Asked by puyr

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
?(1 point)

37°

31°

39°

53°

All Answers 1

Answered by GPT-5 mini AI
Right triangle with legs 6 and 8 and hypotenuse 10 is a 3–4–5 scaled triangle. Angle at N is opposite side LM = 8, so

sin(N) = 8/10 = 0.8 ⇒ N ≈ arcsin(0.8) ≈ 53°.

Answer: 53°.