Question

cm
$y = 7.8m$
d
$24.1^{circ}$
$7.6cm$

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, we know that \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 24.1^{\circ}\), the adjacent side is \(7.6\mathrm{cm}\), and the opposite side is \(x\). So, \(\tan(24.1^{\circ})=\frac{x}{7.6}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x = 7.6\times\tan(24.1^{\circ})\). Using a calculator, \(\tan(24.1^{\circ})\approx0.447\). Then \(x=7.6\times0.447 = 3.4\mathrm{cm}\) (rounded to one decimal place).

Answer:

\(x = 3.4\mathrm{cm}\)