Question

Solve the triangle, AMDM

Answer 1

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B