A girl moves from a point p on a bearing of 060 degree to a q, 40m away. She then moves from the point q, on a bearing of 120 degree to a point r. The bearing of p from r is 255 degree, calculate, correct to 3 significant figures, the distance between p and r.

Question

A girl moves from a point p on a bearing of 060 degree to a q, 40m away. She then moves from the point q, on a bearing of 120 degree  to a point r. The bearing of p from r is 255 degree, calculate, correct to 3 significant figures, the distance between p and r.

oobleck · Accepted Answer

Draw the triangle PQR. angle P is 120°, and angle R is 45° So angle P is 15° Using the law of sines, PR/sin120° = 40/sin45°

Ezeukwu chibuikem king dito · Answer

r[sin R]=q[sin Q] =40[sin 45¤]=q[sin 120¤] cross multiply them =q sin 45¤=40 sio 120¤ q=40 sin 120¤/sin 45¤ q=48.98979486m q is appromately =49.0m

Chijioke · Answer

Non