Question

What is the value of y?

Answer 1

The answer is Y=8.66

Opposite/adjacent = tangent

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

Answer 2

Answer:

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;

$sqrt{3}=\frac{y}{5}$

Multiply both sides by 5 we have;

$5\sqrt{3}=y$

or

$y=5\sqrt{3} = 5 \cdot 1.732 = 8.66025 \approx 9$

Therefore, the exact value of y is, 9 units