18. A city B is 205km from a

Question

village C on a bearing 035°, how
far is B east of C?
A. 205km
B. 146km
C. 117.6km

Answer 1

To find the distance east, we can use the trigonometric ratio of the angle between the bearing and the east direction.

The angle between the bearing and the east direction is 90° - 35° = 55°.

Now, we can use the cosine function to find the distance east:

Distance east = Distance x cos(angle)

Distance east = 205km x cos(55°)

Distance east ≈ 205km x 0.5736

Distance east ≈ 117.6km

Therefore, the distance B is east of C is approximately 117.6km.

Option C is correct.