Question Library

The bearing of two points Q and R from a point P are 030º and 120º, respectively. If |PQ| = 12 m and |PR| = 5 m, find the distance QR.

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.

A ship sets sail from port A (86\(^o\)N, 56\(^o\)W) for port B (86\(^o\)N, 64\(^o\)W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km. [Take \(\pi\) = 3.142 and R = 6370 km]

John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.

a. In a town, Chief X resides 60 m away on a bearing of 057° from Palace P, while Chief Y resides on a bearing of 150° from the same Palace P. The residence of X and Y are 180 m apart. Illustrate the information in a diagram. b. Find and correct to three significant figures, the: i. bearing of X from Y; ii. distance between P and Y.

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

The circumference of a circular track is 9km. A cyclist rides round it a number of times and stops after covering a distance of 302km. How far is the cyclist from the starting point?

From a point T, a man moves 12km due west and then moves 12km due south to another point Q. Calculate the bearing of T from Q.

A cyclist moved at a speed of Xkm/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours. If the total distance covered is 36 km, calculate his initials speed.

The distance d between two villages east more than 18 KM but not more than 23KM. which of these inequalities represents the statements?

Y is 60 km away from X on a bearing of 135°. Z is 80 km away from X on a bearing of 225°. Find the : (a) distance of Z from Y ; (b) bearing of Z from Y.

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A ship sails a distance of 50km in the direction S50ºE and then sails in the distance of 50km in the direction N40ºE. Find the bearing of the ship from its original position.

Points X and Y are respectively 12m North and 5m east of point Z. Calculate XY