Question

d. 62° x 5

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we can use the tangent function. The tangent of an angle in a right - triangle is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 62^{\circ}$, the opposite side to the $62^{\circ}$ angle is $x$ and the adjacent side is $5$. So, $\tan62^{\circ}=\frac{x}{5}$.

Step2: Solve for $x$

We know that $\tan62^{\circ}\approx1.8807$. Then, from the equation $x = 5\times\tan62^{\circ}$. Substitute the value of $\tan62^{\circ}$: $x=5\times1.8807 = 9.4035\approx9.4$

Answer:

$x\approx9.4$