Find the missing part.
Z=

Step-by-step explanation:

To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio

and

x = 15cos60 which gives us that

x =

Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.

and

and

and getting a common denominator:

and

now we take the square root by simplifying the radical to get

and that's what goes into the blanks there, one number per blank.