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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79

Problem 7 Easy Difficulty

SSM A radar antenna is tracking a satellite orbiting the earth. At a certain time, the radar screen shows the satellite to be 162 km away. The radar antenna is pointing upward at an angle of 62.3 from the ground. Find the x and y components (in km) of the position vector of the satellite, relative to the antenna.

Answer

X-component $=75.3 \mathrm{km}$
y-component $=143.3 \mathrm{km}$

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Video Transcript

this problem. We have a radar antenna which is pointed at an angle from the ground, the angle being 62.3 degrees. And it finds a satellite and records that distance to the satellite as being 162 kilometers away. Now we want to solve for the X and Y components of the position vector of the satellite relatives to the antenna. So our position vector is going to be that factor right there, right? So if we were to draw that, we know that it's at an angle 62.3 degrees from the horizontal and we want to solve for the ex and the Y components. We know that this is one under 62 kilometers. Call this T X, Call this a D Y. So just by using our trick in metric identities, we can easily see that R D X is equal to 1 62 co sign 62.3 and our deal Why this 1 62 sign 62.3. Now, if you plug that into your calculator, you should get D X equal to 75.3 kilometers, Andy. Why equal to one and 43 point for kilometers and those are your final answers

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