Question

Right triangle LMN
𝐿
𝑀
𝑁
is drawn on paper. The right angle is located at vertex L
𝐿
with side length MN
𝑀
𝑁
as the hypotenuse. The side length measurements are LM=8 units
𝐿
𝑀
=
8

units
, MN=10 units
𝑀
𝑁
=
10

units
, and NL=6 units
𝑁
𝐿
=
6

units
. What is the approximate angle measure at vertex N
𝑁
?(1 point)
Responses

37°
37°

53°
53°

31°
31°

39°

Answer 1

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