(a) Find the equation of the line passing through the points (2, 5) and (-4, -7). (b) Three ships P, Q and R are at sea. The bearing of Q from P is 030° and the bearing of P and R is 300°. If |PQ| = 5 km and |PR| = 8 km, (i) Illustrate the information in a diagram. (ii) Calculate, correct to three significant figures, the: (1) distance between Q and R (2) bearing of R from Q.
Explanation
(a) Using the two- point form, (b) (i) In . PQR is a right- angled triangle. (ii) (1) In (2) In the diagram above, the bearing of R from Q is the obtuse angle NQR. But Hence, angle NQR = 360° - (a + 60° + 90°) = 360° - (58° + 60° + 90°) = 360° - 208° = 152°
