Regular polygon

• Feb 10th 2014, 12:17 AM
Cake
Regular polygon
Hey Guys,
I need some help finding the value of the variable.
I know you will need to use sine for this one but I don't know what numbers to use.
I know it's a regular polygon with 5 sides so that means each angle is 72.
I don't know what the next step would be.

State the ratio needed, and use it to findthe measure of the indicated line segment to the nearest tenthof a unit.
• Feb 10th 2014, 01:41 AM
Prove It
Re: Regular polygon
Surely each angle in the polygon is 3 x 180 / 5 = 108 degrees...
• Feb 10th 2014, 01:50 AM
Cake
Re: Regular polygon
Quote:

Originally Posted by Prove It
Surely each angle in the polygon is 3 x 180 / 5 = 108 degrees...

Hi Prove it,
Do you know how to get sine = 5.9 ft for this problem?
I don't seem to know how
• Feb 10th 2014, 01:52 AM
Prove It
Re: Regular polygon
Sine of WHAT to equal 5.9 ft?
• Feb 10th 2014, 01:58 AM
Cake
Re: Regular polygon
Quote:

Originally Posted by Prove It
Sine of WHAT to equal 5.9 ft?

I don't know, that's what I have to figure out. The answer is sine(?) = 5.9ft
• Feb 10th 2014, 02:12 AM
Prove It
Re: Regular polygon
Have you started by drawing a triangle using two radii and the side f? Can you fill in any sides and angles?
• Feb 10th 2014, 02:12 AM
ibdutt
Re: Regular polygon
Each triangle is an isosceles triangle with equal sides each equal to 5 ft. equal angles as 54 degree and third angle as 72 degree
The ration will be f/(sin 72 degree ) = 5 / ( sin 54 degree )