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Unformatted text preview: into Quadrant I along the terminal
side of θ = 50◦ . Similarly, S15◦ W would point into Quadrant III along the terminal side of
θ = 255◦ because we started out pointing due south (along θ = 270◦ ) and rotated clockwise
15◦ back to 255◦ . Counter-clockwise rotations would be found in the bearings N60◦ W (which
is on the terminal side of θ = 150◦ ) and S27◦ E (which lies along the terminal side of θ = 297◦ ).
These four bearings are drawn in the plane below.
N60◦ W 40◦ 60◦ W E
15◦ S15◦ W S S27◦ E 770 Applications of Trigonometry
The cardinal directions north, south, east and west are usually not given as bearings in the
fashion described above, but rather, one just refers to them as ‘due north’, ‘due south’, ‘due
east’ and ‘due west’, respectively, and it is assumed that you know which quadrantal angle
goes with each cardinal direction. (Hint: Look at the diagram above.)
(a) Find the angle θ in standard position with 0◦ ≤ θ < 360◦ which corresponds to each of
the bearings given below.
i. due west
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