Question

solve for the missing distance
47.2 meters
18.9 meters
27.5 meters
19.5 meters

Explanation:

Step1: Identify trigonometric relation

We have a right triangle where the hypotenuse is 30 m, the angle is 39°, and $d$ is the opposite side to the angle. Use the sine function: $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Rearrange to solve for $d$

$d = 30 \times \sin(39^\circ)$

Step3: Calculate the value

First, find $\sin(39^\circ) \approx 0.6293$. Then compute:
$d \approx 30 \times 0.6293 = 18.879$

Answer:

18.9 meters