# Pre-Calculus

posted by .

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.

• Pre-Calculus -

Looks like the angle at B is 150° and we can just use the cosine law:

AC^2 = 12^2 + 9^2 - 2(12)(9)cos 150°
= 225 - 216( -√3/2)
= ....
AC = + √ .....
I got AC = appr 20.3

## 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. ### trigonometry

Hal walked from point A to point B due north east from a distance of 20m. He immediately changed direction and walked 50m from B to C on a bearing of 110 degrees. 1. calculate the distance AC 2. Find the bearing of C from A
5. ### 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
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. ### Pre cal

1. An airplane flies 200 km on course 110 degrees from point A to point B. At point B the pilot changes course to 37 degrees. The plane then flies 100 km to point C. Find the magnitude of the net displacement from A to C. 2. A plane …
10. ### mathematics

'ls for a distance of to a point B on a bearing of 1a boat leaves a dock at point A and trave35 degrees. the boat then changes course and travels for a distance of 8km to a point C on a bearing 060 degrees.'.

More Similar Questions