Question

what is the value of d to the nearest hundredth? d≈

Explanation:

Step1: Use sine - function definition

\(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), here \(\theta = 42^{\circ}\), hypotenuse \(= 7.2\), and opposite side is \(d\). So \(\sin42^{\circ}=\frac{d}{7.2}\).

Step2: Solve for \(d\)

\(d = 7.2\times\sin42^{\circ}\). Since \(\sin42^{\circ}\approx0.6691\), then \(d\approx7.2\times0.6691 = 4.81752\approx4.82\).

Answer:

\(4.82\)