Find the value of each variable. If your answer is not an integer, express it in simplest radical form. Please explain how you got the answer! I can't figure it out.

For y we have:
sine (60) = y / 14
Clearing y we have:
y = 14 * sine (60)
Rewriting:
y = 14 * (root (3) / 2)
y = 7 * root (3)

For x we have:
cosine (60) = x / 14
Clearing x we have:
x = 14 * cosine (60)
x = 14 * (1/2)
x = 7

Answer:
the value of each variable is:
y = 7 * root (3)
x = 7

Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-03-22T07:45:08+01:00

In the given right triangle, x and y are 7 and 7√3 respectively.

What is the sine of an angle?

Sine of an angle = [tex]\frac{OPPOSITE SIDE}{HYPOTENUSE}[/tex]

From the diagram, we can see that y is the opposite side to angle B while x is the adjacent side while 14 is the hypotenuse.

Sin α = opposite side/ hypotenuse

Sin 60° = y/14(given)

y = 14sin60

y=7√3

Cos α = adjecent side / hypotenuse

Cos60° = x/14(given)

x = 14cos60

x= 7

So, for the given right triangle x and y are 7 and 7√3 respectively.

Therefore, In the given right triangle, x and y are 7 and 7√3 respectively.

To get more about trigonometric ratios visit:

https://brainly.com/question/24349828