Find $$m\angle1.$$  

Find the size of angle x

A ship sails from A to B on a bearing of 060. on what bearing must it sail if it is to return from B to A?

The map of an island is shown above.

What is the bearing from the tower to the beach?

The map of an island is shown above.

What is the bearing from the Tower to the Mine

The map of an island is shown above.

What is the bearing from the tower to the Church?

On what bearing is a ship sailing if it is heading:

a) NE

b) SE

c) S

d) W

An aeroplane flies 200 km on a bearing of 335 °. It then flies 100 km on a bearing of 170 ° and 400 km on 280 °, and then lands.

(a) How far is the aeroplane from its starting point when it lands?

(b) On what bearing could it have flown to complete its journey directly?

A captain wants to sail his ship from port A to port B, but the journey cannot be made directly. Port B is 50 km north of A. The ship sails 20 km on a bearing of 075 °. It then sails 20 km on a bearing of 335 ° and then drops anchor.

(a) How far is the ship from port B when it drops anchor?

(b) On what bearing should the captain sail the ship to arrive at port B?

Julie intended to walk 200 m on a bearing of 240 °. Her compass did not work properly, so she actually walked 200 m on a bearing of 225 °. What distance and on what bearing should she walk to get to the place she intended to reach?

$$m^x\div m^y=$$

Simplify the expression

The probability that Ben wins a game is 0.52. If he plays 50 games, how many is he likely to win?

A delivery company states that a probability of a package being damaged is 0.023.

In one month, they deliver 700 parcels.

Calculate how many of these parcels would be expected to be damaged.

Work out the exact value of n

$$27^{\frac{2}{3}}\times3^n=9^5$$