Question

CHECK MY SUPER EASY WORK PLEASE: 3. Robbie the Robot is on a weather satellite orbiting Earth about 3600 km above the surface. The Earth’s radius is about 6400 km. He has had a malfunction in his output device, and the satellite is traveling without communication. His last report was only in terms of trigonometric values and was only partially received. It said, sin Θ < 0….. and then he was lost again.

Answer 1

I said he was in the 3rd quadrant because it said sin was negative. Is this correct?

Answer 2

sine is negative in the 3rd and 4th quadrants.

Answer 3

If you're free to choose an angle, pick something simple like : \(\large 180+45 = 225^{\circ}\)

Answer 4

@ganeshie8 the angle I chose was 315. Would that be okay in the problem? I have all of that down but my main problem is definitely the part where it says describe where he is.

Answer 5

Because what I said was that he could be either in the 3rd or 4th quadrant because he said sin theta = 0, so would I be right that he could be in QIII or IV?

Answer 6

small typo :

Because what I said was that he could be either in the 3rd or 4th quadrant because he said sin theta \(\color{red}{\lt }\) 0, so would I be right that he could be in QIII or IV?

Answer 7

Yeah my bad, that's what I meant.

Answer 8

and you're absolutely right ! 315 is a good angle : (315 = 360-45)

Answer 9

Awesome! So just to make sure I CAN say he's in Quadrant 3 or 4?

Answer 10

yes, he can be anywhere in III or IV quadrants; since you have chosen the angle 315, you're assuming that he is in IVth quadrant.

Answer 11

all good !

Answer 12

Awesome, thanks so much! :)

Answer 13

np :)