I) To find the distance of C from B, we can use the Law of Cosines.
Let's denote the distance from C to B as x.
Using the Law of Cosines:
x² = 60² + 80² - 2(60)(80)cos(135°)
Simplifying:
x² = 3600 + 6400 - 9600cos(135°)
x² = 10000 - 9600(-0.7071)
x² = 10000 + 6787.584
x² ≈ 16787.584
x ≈ √16787.584
x ≈ 129.51 km
Therefore, the distance of C from B is approximately 129.51 km.
II) To find the bearing of C from B, we can use the formula:
Bearing of C from B = Bearing of C from A - Bearing of B from A
The bearing of C from A is 225° and the bearing of B from A is 135°.
Bearing of C from B = 225° - 135°
Bearing of C from B = 90°
Therefore, the bearing of C from B is 90°.
B is 60km from A on the bearing of 135 degree ,C is 80km away from A in a bearing of 225 degree find the (I)Distance of C from B
(II)Bearing of C from B
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