# Maths

An aeroplane flies from a town X on a bearing of N 45 degree E to another a town Y on a distance of 200km.it then changes course and flies to another town Z on a bearing of S 60 degree E.if Z is directly east of X.Calculate (a) the distance from X to Y (b) the distance from Y to XZ

1. 👍
2. 👎
3. 👁
1. heading, not bearing.
From Y, Z is on a bearing of S60E, so that is the plane's heading.

200 @ N45E = <141.42,141.42>
z @ S60E = <.866z,-.50z>

Since Z is directly east of X, you need

141.42 - 0.50z = 0

So, evaluate the distance z, and then the distance XZ will be 141.42 + 0.866z

1. 👍
2. 👎
2. 141,386

1. 👍
2. 👎
3. Please help me god bless you .

1. 👍
2. 👎
4. Thanks i'm Grateful

1. 👍
2. 👎
5. Answer

1. 👍
2. 👎
6. show the diagram.

1. 👍
2. 👎
7. Show the diagram

1. 👍
2. 👎

## Similar Questions

1. ### Maths

An aeroplane flies from a town x on a bearing of N45°E o another town y,a distance of 200km.it then changes course and flies to another town zon a bearing of s60°e.if z is directly east of x,calculate to correct 3significant

2. ### Mathematics

An aeroplane leaves an airport A and flies on a bearing 035°for 1.5 hours at 600km/hr to airport B It then flies on a bearing 130° for 1.5hours at 400km per hour to an airport C calculate the distance from C to A and the bearing

3. ### Mathematics

A town Q is in a bearing of 210° from P,R is another town on a bearing of 150° from P east of Q.The distance between R and P is10km .find the distance between R and Q

4. ### mathematics

a traveler moves from a town p on a bearing of 055degree to another town q 200 km away, he then moves from q on a bearing of 155degree to another town r 400km from q.find the distance between p and r,bearing of p from r correct to

1. ### Maths

An Aeroplane X Whose Average Speed Is 500km/h Leaves Kano Airport At 7:00am And Travels For 2 Hours On A Bearing 050 Degree. It Then Changes Course And Flies On A Bearing 120 Degree To An Airstrip A. Another Aeroplane Y Leaves

2. ### math

An aeroplane flies due north from Ikeja Airport for 500km. It then flies on a bearing of 060 degrees for a further distance of 300km before overflying a road junction.Calculate a. The distance of the aeroplne from Ikeja Airport

3. ### Math

A traveller moves from town p on a bearing of 055 degree to a town q 200km away.he then moves from q on a bearing of 155 degree tn a town r 400km from q.find A.distance between p and r B.bearing of p from r,correct to the nearest

4. ### Mathematics

Sketched this Bearing A survey leaves a base camp and drives 42km on a bearing of 032 degree, she then drive 28km on a bearing, if 154 degree. How far is she from her base?

1. ### math

Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

2. ### Math

A plane flies 120km on a bearing of 045 degree and then flies 150km due east. How far east of the starting point is the plane?

3. ### Math

Points L and M are equidistant from another K. The bearing of L from K is 330 degree. The bearing of M from K is 220 degree. Calculate the bearing of M from L.

4. ### math

A town Q is on a bearing of 210 degree from p,r is another on a Bearing of 150 degree from P is cast Q. The distance between R and P is 100m, find the distance between R and Q.