Question 554017
the terminal arm of angle ϴ passes through the point R(-15,-8)
Draw a line segment connecting (0,0) and (-15,-8)
That is the hypotenuse of a right triangle with sides equal
to 15 and 8
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determine the distance from the origin to point R
Use Pythagoras:
d = sqrt[15^2+8^2] = 17
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determine the exact value of sin ϴ to the nearest tenth of a degree
sin(theta) = opposite/hypotenuse = -8/17 =-0.4706
theta = sin^-1(-8/17) = 180-28.07 = 151.9 degrees
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Cheers,
Stan H.
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