The bearing angle of point B from point A is \(66^\circ \). Find the bearing angle of point A from point B

A plane is 120 miles north and 85 miles east of an airport. If the pilot wants to fly directly to the airport, what bearing should be taken?

A boat sails from a certain port in the direction \(S\,30^\circ E\). After the boat has sailed 8 km, how far is it due east of the port?

A boat sails leaves from point S on a bearing of \(060^\circ \), after the boat has sailed 12 km,it reaches point P. How far is point P due east of point S?

The bearing of the school from home is 070° and the distance between the school and home is 25 km.

a) How far north of home is the school?

b) What is the bearing of home from the school?

The distance from Melbourne to Carlton is 100 km. If the bearing of Melbourne from Carlton is 200°, calculate

a) How far south Melbourne is from Carlton

b) The bearing of Carlton from Melbourne.

A cyclist travels 7.8 km east then takes a break. He then cycles directly south for 9.6 km and stops there

a ) Calculate, correct to two decimal places, the distance from initial point to the end point.

b) Find the bearing of initial point from the end point to the nearest degree.

Lucas left the office on his bike at 6 pm at the bearing of 120° at a speed of 70 km/h.

a) How far (to the nearest km) due south of office is Lucas at 8:30 p.m.?

b) What is the bearing (correct to the nearest degree) of office from Lucas?

The diagram shows the location of three towns. Town A is 4km due north of town B, town C is 12 km from town B and \(\angle ABC = 140^\circ \).

(i) Find the shortest distance from town A to town C. (2 marks)

(ii) Find the bearing of town C from town A, to the nearest degree (3 marks)

A boat sails from a point in the direction N \({20^o}\) E. After the boat has sailed for 10 km, how far is it due east of the point?

The bearing angle of point P from point Q is \({210^o}\). Find the bearing angle of point Q from point P.