Answer:
Using the tangent ratio:
[tex]\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
As per the given diagram:
In right angle triangle ACB:
Side BC = y units and Side AC =5 units
Apply the tangent ratio:
[tex]\tan 60^{\circ} =\frac{\text{BC}}{\text{AC}}[/tex]
Opposite side = BC = y units and Adjacent side = AC = 5 units
Substitute the given values we have;
[tex]sqrt{3}=\frac{y}{5}[/tex]
Multiply both sides by 5 we have;
[tex]5\sqrt{3}=y[/tex]
or
[tex]y=5\sqrt{3} = 5 \cdot 1.732 = 8.66025 \approx 9[/tex]
Therefore, the exact value of y is, 9 units
