Posted by **Anonymous** on Wednesday, April 2, 2008 at 10:01am.

A is the point (1,1), B is (4,5) and C is (5,3). Find

a)the angle between AB and a line parallel to the y axis.

b)the angle between BC and a line parallel to the y axis.

c)Hence, find ABC (angle B).

I have drawn the points. Please help!!!

- math -
**drwls**, Wednesday, April 2, 2008 at 10:18am
a) In going from A to B, y increases by 4 while x increases by 3. The tangent of angle that the line makes with the y axis is 3/4. That makes the angle 36.87 degrees

b) In going from B to C, y decreases by 2 while x increases by 1. The line points downward and makes an angle tan^-1 1/2 = 26.56 degrees with the -y axis, or 153.43 with the +y axis. The angle at B is the supplement of 153.43 - 26.56 = 126.87, or 53.12 degrees.

You need to work with the figure to followe these steps, and I can't draw the figure for you. It might be easiest to get the angle A by computing the direction of AC first.

## Answer This Question

## Related Questions

- math - Find an equation for the line that passes through the point (2, -5) and ...
- Geometry - I need help on a geometry proof!!!! If Line AB is parallel to Line DC...
- Math - Someone please explain these! The angle between two planes is defined as ...
- Math - Someone please explain these! The angle between two planes is defined as ...
- Math - Someone please explain these! The angle between two planes is defined as ...
- Math -Quadratics Help! - I have a test tomorrow with a few sample questions that...
- Algebra - I'm suppose to write an equation with the following information: Line ...
- Math - Quadratics & Analytical Geometry - I have a test tomorrow with a few ...
- Geometry - 1) In the diagram above, line a is parallel to line b. Which theorem...
- precalc - write a linear equation to fit each situation or description. 1) the ...

More Related Questions