A girl start from a point P and walks a distance of 6km in the direction north-east to a point Q.She then changes direction and walks on a bearing S30°E until she is directly east of her starting point .calculate,correct to three significant figures, (A)distance of R and P (B) distance from Q to PR.?

Aliyuus2

3 years ago

Follow the link below
https://myschool.ng/questions/view/academic-questions/247479

Tifepraise

3 years ago

the girls walks on a heading, not a bearing.

B's bearing from A is 78°

If A is at (0,0), then B is at (279,59)

If we mark point D due east of A, on the line BC, then D is at (279,0)

Now, if angle DAC is θ, then

cosθ = 279/307
θ = 25°

So, A's bearing from C is 270+25 = 295°

BC = 59+279sin25° = 177m