A city B is 205km from a

Question

village C on a bearing 035˚, how
far is B cast of C?
A. 205km
B. 146km
C. 117.6km
D. 91.7km

Answer 1

To find the distance between B and C, we need to use trigonometry.

First, we can split the 035˚ bearing into its component angles.

The angle in the x-direction (east) is 90˚ - 35˚ = 55˚.
The angle in the y-direction (north) is 35˚.

Using the sine and cosine functions, we can calculate the distances in each direction.

distance in the x-direction = 205km * cos(55˚) ≈ 205km * 0.5736 ≈ 117.6km

Therefore, B is approximately 117.6 km east of C.

The answer is C. 117.6km.