# Pre-Cal

The diagonal and the longer side of a rectangle make an angle of 43.2. If the longer side is 12.6cm, find the length of the shorter side.

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1. Tan 43.2 = Opposite/12.6
Tan 43.2 x 12.6 = Length of opposite side
Length of shorter side = 11.83cm

2. ok this is my problem.
I'm having trouble visualizing the rectangle. I don't seem to understand how it could have an angle of 43.2 if one of the properties of a rectangle is that it has four 90 degree angles and if a diagonal is drawn then its angles r bistected therefore makin the angle 45. Is there some way you can illustrate it?

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posted by Daisy
3. You're right, a rectangle does have 4 angles of 90 degrees each, but when the opposite corners are connected by a diagonal line the angle with only be 45 degrees if the length And the height of the "rectangle" are equal, ie a square.
As the length increases, assuming the height remains the same, the angle narrows.
Hope this makes it ( a little ) clearer.

Stu.

4. oh i get it now. Thanks Stu! you rock!

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posted by Daisy
5. :-D

Pleasure.

Stu.

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