Question

x = 4.7 cm d) 60° 11.3 cm

Explanation:

Step1: Use the tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 60^{\circ}$, the opposite side is $11.3$ cm and the adjacent side is $x$. So, $\tan60^{\circ}=\frac{11.3}{x}$.

Step2: Solve for $x$

Since $\tan60^{\circ}=\sqrt{3}\approx1.732$, we have $x=\frac{11.3}{\tan60^{\circ}}$. Substituting the value of $\tan60^{\circ}$, we get $x=\frac{11.3}{1.732}\approx6.52$ cm.

Answer:

$x\approx6.52$ cm