Answer:
D=221 m
Step-by-step explanation:
In order to solve this problem, we can start by drawing a diagram of the given situation. (see attached picture)
As you may see, we have a right triangle there, so we can use trigonometric functions to solve this. Specifically, the sine function.
[tex]sin \theta = \frac{OS}{Hyp}[/tex]
in this case we need to find the hypotenuse, so we solve the equation above for the Hyp, so we get:
[tex]Hyp= \frac{OS}{sin \theta}[/tex]
in this case, the opposite side (OS) is the heght of the helicopter, the angle is the 42° and the Hyp is the direct distance between the helicopter and Jackson, so we substitute the given data to get:
[tex]Distance=\frac{148m}{sin 42^{o}}[/tex]
Which yields:
D=221m
