Question

It's either SOH, CAH, or TOA to use but i need to know which, can someone help me?

Answer 1

1. AB
AB is adjacent to the 50 deg angle.
You also know the hypotenuse, so use CAH.

`\cos 50^\circ = (AB)/(9)`

`AB = 9 \cos 50^\circ = 5.8`

2. BC
BC is opposite the 50 deg angle.
You also know the hypotenuse, so use SOH.

`\sin 50^\circ = (BC)/(9)`

`BC = 9 \sin 50^\circ = 6.9`

3. <C
<C is complementary to the 50 deg angle.

m<C + 50 = 90

m<C = 40