Math Is Fun Forum

adpqadpq

Member

Registered: 2017-02-03

Posts: 18

Geo help

The lines y =5/12 x and y =4/3x are drawn in the coordinate plane. Find the slope of the line that bisects the angle between these lines.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Geo help

Hi;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Geo help

hi adpqadpq

Call the angle for the lower line y, so that tan(y) = 5/12

And the angle being bisected 2x, so that tan(2x+y) = 4/3

Use the trig. formula:

This will enable you to get tan(x) in terms of tan(x + y)

Now use:

This will enable you to get tan(x + y) which is the required slope.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Geo help

Last edited by thickhead (2017-03-25 16:06:01)

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