The Denver International AIrport is located 220 miles from the Aspen Airport at an angle from due East of approximately 200. a.) Write the polar coordinates for the Aspen Airport.
b.) Convert the polar coordinates for the Aspen Airport into rectangular coordinates.
b.) Convert the polar coordinates for the Aspen Airport into rectangular coordinates.
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I assume that Denver International Airport is located at (0,0) ??
Denver is located at 200° (in standard position) from Aspen
Aspen is located at 200° − 180° = 20° (in standard position) from Denver
Standard position is angle formed with positive x-axis in counter-clockwise direction.
Polar coordinates = (r, θ) = (220, 20°)
Rectangular coordinates:
x = r cosθ
y = r sinθ
(220 cos(20°), 220 sin(20°)) ≈ (206.73, 75.24)
Denver is located at 200° (in standard position) from Aspen
Aspen is located at 200° − 180° = 20° (in standard position) from Denver
Standard position is angle formed with positive x-axis in counter-clockwise direction.
Polar coordinates = (r, θ) = (220, 20°)
Rectangular coordinates:
x = r cosθ
y = r sinθ
(220 cos(20°), 220 sin(20°)) ≈ (206.73, 75.24)