Determine the magnitude of the sum of (60.0, 30 degrees) and (40.0, 150 degrees).?

Question

Determine the magnitude of the sum of (60.0, 30 degrees) and (40.0, 150 degrees).?

Answer 1

60 + 30 = 90

40 + 150 = 190

.

Answer 2

draw yourself a little triangle, where one side is at a 30 degreen angle and 60 units long, then the second side is at a 150 degree angle and 40 units long.

how long is the third side of the triangle?

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Alternatively, convert each polar coordinate to its cartesian (x,y) equivalent, add the x's together and the y's together to get the cartesian coordinate of their vector sum, then get the length via your pal

len = sqrt( x*x + y*y)

where x = x1 + x2 and y = y1 and y2

and x1, y1 is the cartesian equivalent of the first polar coord (60, 30d) and x2, y2 is the cartesian equivalent of the second poal coord (40, 150d)