Find x, y and z.
( answer needs to be in reduced radical form )

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

In the right triangle of the right side

In the right triangle of the left side

Simplify

In the right triangle of the left side

Simplify

Step-by-step explanation:

The cosine function is defined as:

Where:

adjacent is the length of the side that contains angle b and angle 90 °

Hypotenuse is the length of the side opposite the angle of 90 °.

So if b is the angle of 45 ° we have that:

Thus:

Now we solve the equation for x

The sine function is defined as:

Where:

opposite is the length of the side opposite the angle of b

Hypotenuse is the length of the side opposite the angle of 90 °.

if b is the angle of 60 ° we have that:

Thus:

Now we solve the equation for z

Finally we use the cosine function to find the value of y

if b is the angle of 60 ° we have that:

Thus:

Now we solve the equation for y