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Zorluk: KolayAngles of Elevation, Depression, and Bearings

A forest ranger station YY is located on a bearing of 115∘115^\circ from an observation tower XX. What is the bearing of the observation tower XX from the forest ranger station YY?

  1. A
    065∘065^\circ
  2. B
    245∘245^\circ
  3. 295∘295^\circCevap
  4. D
    115∘115^\circ

Cevap

295∘295^\circ
The bearing of YY from XX is 115∘115^\circ. To find the bearing of XX from YY (the back bearing), add 180∘180^\circ to the forward bearing because 115∘<180∘115^\circ < 180^\circ. Calculating 115∘+180∘115^\circ + 180^\circ yields 295∘295^\circ.

Adım Adım Çözüm

1
Identify the given forward bearing
The bearing of YY from XX is θ=115∘\theta = 115^\circ.
This is the initial directional angle measured clockwise from True North at point XX.
2
Calculate the back bearing of XX from YY
Back bearing =115∘+180∘=295∘= 115^\circ + 180^\circ = 295^\circ.
Because the forward bearing is less than 180∘180^\circ, the back bearing is obtained by adding 180∘180^\circ to find the opposite direction.

Anahtar Kavram

Back Bearing Calculation
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