Question

What is the value of y?

Enter your answer, as an exact value, in the box.

Please help!

Answer 1

The answer is Y=8.66

Opposite/adjacent = tangent

Y/5 =tan60
Y= tan60*5
Y= 8.66

Answer 2

Using the tangent ratio:

`\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}`

As per the given diagram:

In right angle triangle ACB:

Side BC = y units and Side AC =5 units

Apply the tangent ratio:

`\tan 60^(\circ) =\frac{\text{BC}}{\text{AC}}`

Opposite side = BC = y units and Adjacent side = AC = 5 units

Substitute the given values we have;

`sqrt{3}=(y)/(5)`

Multiply both sides by 5 we have;

`5√(3)=y`

or

`y=5√(3) = 5 \cdot 1.732 = 8.66025 \approx 9`

Therefore, the exact value of y is, 9 units