I did my work but I need someone to check my answers and help me with another.

  1. A ship leaves port at noon and has a bearing of $\text{S} 29^{\circ} \text{W}$. The ship sails at $20 \text{ knots}$. How many nautical miles $\text{S}$ and how many nautical miles $\text{W}$ will the ship have traveled by 6:00 PM? I said $\langle 120 \cos(29^\circ), 120 \sin(29^\circ) \rangle$

  2. (Spherical Geometry) Draw triangles with 1 right angle, 2 right angles and 3 right angles respectively.

My issue here is that I don't know how it's possible to draw a spherical triangle with 2 right angles.

  • 1
    $\begingroup$ For a spherical triangle with two right angles, put two vertices on equator and one at pole. $\endgroup$ – Jean-Claude Arbaut Mar 14 '13 at 7:36
  • $\begingroup$ Thanks I see the picture that you described $\endgroup$ – Person Mar 14 '13 at 7:53

1 the answer is correct with position vector coordinates as (-120cos(29 degrees)i^, -120sin(29 degrees)j^) [north as +ve Y]

2 These images may hel http://euler.slu.edu/escher/upload/thumb/5/5d/Sphere-triangle909045.png/180px-Sphere-triangle909045.png



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