Engineering Board Exam Reviewer · Spherical Trigonometry · medium

One point lies on a meridian at latitude 12° N and another point on the same meridian at latitude 28° S. Find the great-circle distance between them in nautical miles (one minute of arc equals one nautical mile).

  1. 960
  2. 1680
  3. 720
  4. 2400

Answer

D. 2400

Solution

On the same meridian the arc is 12°+28°=40°=2400', so the distance is 2400 nautical miles.

More Spherical Trigonometry questions

  1. In a right spherical triangle with C=90°, the hypotenuse c=70° and angle A=40°. Find the side a opposite angle A, in degrees.
  2. In a right spherical triangle with C=90°, the sides a=40° and b=50°. Find the hypotenuse c, in degrees.
  3. A spherical triangle on a sphere of radius 10 cm has a spherical excess of 30°. Find its area in cm2.
  4. The angles of a spherical triangle are 80°, 70° and 60°. Find its spherical excess, in degrees.
  5. The sum of the three angles of a spherical triangle is always greater than and less than .
  6. A spherical triangle on the Earth (radius 6371 km) has angles 90°, 90° and 60°. Find its area in millions of square kilometers.
  7. Manila is at about 14.6° N, 121.0° E and Tokyo at about 35.7° N, 139.7° E. Using a spherical Earth, find the great-circle distance between…
  8. The sides of a spherical triangle are a=70°, b=50° and c=80°. Find angle C, in degrees.
  9. In a spherical triangle, sides a=50° and b=60° include an angle C=40°. Find side c, in degrees.

All Spherical Trigonometry questions