Processing math: 16%

Tuesday, August 7, 2012

Final 7 - Positive Latitude


Given:

  • \mbox{A 1 m rod casts a 1 m shadow at noon on the summer solstice.}
  • \mbox{At the equator, the sun's rays strike the earth vertically at 23.5 degrees north.}

Question:

  • \mbox{What is the latitude at the measurement point?}

Rationale:

  • \mbox{The triangle with 1 m on both sides is a 45 degree triangle.}
  • \mbox{90 - The angle at the measurement point} + \mbox{The angle at the equator} = latitude

Calculate:

  • latitude = 45 + 23.5 = 68.5

References:

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