Bearings

• What is the distance from point Y to point A in the example bearing question?

  7.2 km
• What is the distance from point A to point F in the example bearing question?

  10.3 km
• What is the distance from point F to point E in the example bearing question?

  8.6 km N
• What is the bearing angle from point A to point F?

  290°
• What is the formula for the cosine rule?

  cosA = (b² + c² - a²) / (2bc)
• What is the value of T calculated using the cosine rule?

  T = cos⁻¹((5.6² + 10.3² - 7.2²) / (2 * 5.6 * 10.3))
• What is the approximate value of T after calculation?

  42.1
• What is the sine rule formula?

  sinA / a = sinB / b = sinC / c
• If b = 15 km and angle B = 36°, what is the value of DF using the sine rule?

  DF = 9.9 km
• What are the key differences between the sine rule and cosine rule?

  • Sine Rule: Used for non-right triangles, relates angles and sides.
  • Cosine Rule: Used for any triangle, relates sides and angles.
• What is the angle at point D in the example bearing question?

  126°
• What is the angle at point E in the example bearing question?

  230°
• What is the angle at point F in the example bearing question?

  40°
• What is the angle adjustment from 180° to point F?

  -40°
• What is the adjustment from 270° to point F?

  -230°