Question

Triangle L N M is shown. Angle L N M is 90 degrees, angle N M L is 48 degrees, and angle M L N is 42 degrees.
Consider △LMN.

m∠L + m∠M =
°

sin(L) =

sin(M) =

Answer 1

Angle L = 42°, angle M = 48° (given). Since N = 90°,

m∠L + m∠M = 42° + 48° = 90°.

sin(L) = sin 42° ≈ 0.6691 (exact form: sin 42°).
sin(M) = sin 48° ≈ 0.7431 (exact form: sin 48°).