Question

Find the missing side. 27° y= ?] 11​

Answer 1

21.6

Explanation:

Tan 27= 11

y

y×tan27=11

y=21.6

Answer 2

The answer is:

y = 21.6

Work/explanation:

We are asked to use SOH-CAH-TOA. But what does it mean?

SOH CAH TOA

SOH stands for Sine = Opposite ÷ Hypotenuse

CAH stands for Cosine = Adjacent ÷ Hypotenuse

TOA stands for Tangent = Opposite ÷ Adjacent

Since we do not have the hypotenuse, we will use the TOA ratio:

`\sf{Tangent=(Opposite)/(Adjacent)}`

The opposite is 11, and the adjacent is y:

`\sf{\tan27=(11)/(y)}`

Take the tangent of 27 & approximate it:

`\sf{0.5095=11/ y}`

Multiply each side by y

`\sf{0.5095y=11}`

Divide each side by 0.5095

`\sf{y=21.6}`

Hence, y = 21.6