help triangle trigonometry.

Question

Answer 1

1)

Step 1:

Find .

The angles of the triangle are .

One side of the triangle is .

The third angle in a triangle is

Use the law of sine rule :.

Consider .

Substitute in above sine rule,

Solution :

Answer 2

1)

Step 1:

Find .

The angles of the triangle are .

One side of the triangle is .

The third angle in a triangle is

Use the law of sine rule :.

Consider .

Substitute in above sine rule,

Solution :

Answer 3

2)

Step 1:

 Find .

The angles of the triangle are .

One side of the triangle is .

Consider .

Substitute in above sine rule,

Solution :

Answer 4

3)

Step 1:

Find .

One angle of the triangle is  .

The triangle sides are .

Use the law of cosine rule : .

Substitute in above cosine rule,

Solution :

Answer 5

4)

Step 1:

Find .

One angle of the triangle is  .

The triangle sides are .

Use the law of cosine rule : .

Substitute in above cosine rule,

Solution :