# physics

posted by .

A cyclist starts from point X and rides 3 km due west to point Y. At Y he changes direction and rides 5km north-west to point Z.
(a) hw far is he from the starting point, correct to the nearest km?
Find the bearing of the Z frm X to the nearest degree?

• physics -

The angle XYZ = 135o
According to the Cosine Law
ZX=sqr(XY^2+YZ^2-2•XY•YZ•cos135)
=sqr(9+25+30 (-0.707))= 7.43 km ≈7 km.

## Similar Questions

1. ### Physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1490 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
2. ### physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1100 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
3. ### physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
4. ### PHYSICS-HELP!!

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
5. ### physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1040 m due east and then turns due north and travels another 1540 m before reaching the campground. The second …
6. ### physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1120 m due east and then turns due north and travels another 1550 m before reaching the campground. The second …
7. ### physics

A mountain biker rides a given distance due north, then drives twice that far to the west. At the end of the trip the direct distance from the starting point is 112meters. What is the length of each leg of the trip and in which direction …
8. ### Physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1030 m due east and then turns due north and travels another 1480 m before reaching the campground. The second …
9. ### physics

a cyclist travels 2.5km east, then 10km south and finally 5km west. determine the cyclist's overall displacement from their starting point.
10. ### math

A man walks due west for 4km. He then changes direction and walks on a bearing of 179 until he is south-west of his starting point.How far is he then from his starting point?

More Similar Questions

Post a New Question