Question

Inverse Tangent Quick Check
3 of 53 of 5 Items





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

31°
31°

53°
53°

39°
39°

37°

Answer 1

Angle N has tangent = opposite/adjacent = LM/NL = 8/6 = 4/3.
θ = arctan(4/3) ≈ 53°.