Question

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.
Part 1: Create a set of coordinates that would be reasonable for Robbie’s position in space and satisfy his last, partial report. Using complete sentences, describe Robbie’s location and your reasoning.

Answer 1

Part 2: What are the values of the sin Θ, cos Θ, and tan Θ using your coordinate point?

Answer 2

So I assume you can pick any coordinate in the 3rd or 4th quadrants

Answer 3

wait but can u explain why i dont get it

Answer 4

you mean why the trig functions have different signs for the quadrants?

Answer 5

like the numbers and stuff

Answer 6

If you pick the origin for the center of the earth, then the distance is 6400 + 3600 = 10,000 km. This is the hypotenuse of the triangle.
They gave the requirement that sine has to be negative, so you can pick any point in the 3rd or 4th quadrant at a distance of 10,000 km from the origin.
So pick a number for Θ