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
