As Jackson stands near a helicopter landing pad (on the ground), he sees a helicopter approaching. The altitude (height above the ground) of the helicopter is 148 meters. From the helicopter to where Jackson is standing there is an angle of depression of LaTeX: 42^\circ42 ∘. The direct distance between the helicopter and Jackson is meters.

Round your answer to the nearest meter. Type in only the numerical part of the answer (no units).

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.

in this case we need to find the hypotenuse, so we solve the equation above for the Hyp, so we get:

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:

Which yields:

D=221m

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

g

step-by-step explanation: