Question

find a.
write your answer in simplest radical form.
inches

Explanation:

Step1: Identify trigonometric ratio

For the 60° angle, side $a$ is opposite, 1 in is adjacent. Use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute values

$\tan(60^\circ)=\frac{a}{1}$

Step3: Solve for $a$

Since $\tan(60^\circ)=\sqrt{3}$, $a = 1\times\sqrt{3}$

Answer:

$\sqrt{3}$ inches