Question

Find the value of each variable.

Answer 1

Step-by-step explanation:

For b

To find the value of a we must first find the value of b

To find b we use sine

sin ∅ = opposite / hypotenuse

From the question

b is the opposite

The hypotenuse is 10

We have

sin 60 = b / 10

b = 10 sin 60

b = 5√3

For a

To find a we use sine

sin 30 = b/a

b = 5√3

That's

sin 30 = 5√3/a

a = 5√3 / sin 30

a = 10√3

For c

Since we have both a and b we can find c using either a or b

To find c using a we use cosine

cos 30 = c / a

a = 10√3

c = a cos 30

c = 10√3 cos 30

c = 15

For d

To find d we use cosine

cos 60 = d / 10

d = 10 cos 60

d = 5

Hope this helps you