Question

Find the value of the variable.

Answer 1

Answer:

x = 8.66

y = 10

Step-by-step explanation:

Okay first of all write out sin cos tan. SOH-CAH-TOA

Solve for x : Reference angle is 60. x is the opposite angle. 5 is adjacent. We can conclude that we need to use TAN since it deals with opposite and adjacent.  Now write out the equation. tan(60) = x/5.

To get x alone multiply both sides by 5 so we have tan(60)*5  = x

That would be equal to 8.66. Make sure to use degree and not radiant when using calculator.

Solve for y. Ref angle : 60, Adjacent is 5 and y is hypotenuse.  We can conclude we need to use Cos.

cos(60) = 5/y. If the variable is in the denominator we can just flip places of y and cos(60). We are left with y = 5/cos(60). Now use a calculator for this and use degree. We will get the answer as 10.