# math (precalc)

posted by .

Point S is 4 km west of point R, and point T is 4 km southwest of S. Find the bearing and distance from R to T.

• math (precalc) -

T is 4/√2 km west and 4/√2 km south of S.

So, T is 4+4/√2 = 6.83 km west and 4/√2 = 2.83 km south of R.

Or, if you think of R as (0,0), T is (-6.83,-2.83)

arctan 2.83/6.83 = 22.49°

So, the bearing from R to T is W22.5°S

## Similar Questions

1. ### Mathematics

A pilot flies a plane that averages approximately 210 km/hr. The plane leaves point A at a bearing of 40 degrees and flies two hours to point B. After a brief stop the plane leaves point B at a bearing of 125 degrees and flies for …
2. ### Math

Point B is 10 KM north of Point A and Point C is 10 Km from B on a bearing of 060 from b. Find the bearing and distance of C from A
3. ### Math

Point B is 10 KM north of Point A and Point C is 10 Km from B on a bearing of 060 from b. Find the bearing and distance of C from A
4. ### physics

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?
5. ### Pre-Calculus

Point B is 12 km north of point A. Point C is 9 km from point B on a bearing of 060°. Find the distance from A to C.
6. ### math

Dave walked from point A to point B due North East for a distance of 20m. He immediately changed direction and walked 50m from B to C on a bearing of 110 degrees. i. Calculate the distance AC ii. Find the bearing of C from A
7. ### geometry

A cross country race course on flat ground has runners heading from point A for 3.5 km on a bearing of 047degT to point B. From point B they turn and run for 2.8 km on a bearing of 342degT to point C. They then run back to point A. …
8. ### Math

Point A is 15 miles directly north of point B. From point A, point C is on a bearing of 129°25', and from point B the bearing of C is 39°25'. Find a) the distance between A and C and b)the distance between B and C.
9. ### Math

A plane flies 430 miles at a bearing of N27°E, then turns and flies N63°E for 135 miles. Find the distance and the bearing from the starting point to the ending point ?
10. ### Trigonometry

A pilot flies her plane on a bearing of 35 degrees minutes from point X to point Y, which is 400mi from X. Then she turns and flies on a bearing of 145 degrees to point Z, which is 400 mi from her starting point X. What is the bearing …

More Similar Questions