SOLUTION: To whom may it concern, I have trouble to do this question. The length and width of a triangle are 19.2 cm and 12.4 cm respectively. Find the angle between a diagonal and th

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: To whom may it concern, I have trouble to do this question. The length and width of a triangle are 19.2 cm and 12.4 cm respectively. Find the angle between a diagonal and th      Log On

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Question 60973: To whom may it concern,
I have trouble to do this question.
The length and width of a triangle are 19.2 cm and 12.4 cm respectively. Find the angle between a diagonal and the shorter side of the triangle.
Please help. Thank you very much.
CH Lam
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
I think the figure is a rectangle.
Length = 19.2 cm
width = 12.4 cm
With the diagonal, the figure becomes a right triangle with the length as its base and the width as its height.
Let the angle between the diagonal and the shorter side be x
Then tanx = 19.2/12.4
= 1.55
==> x = tan^(-1) (1.55)
= 57 degrees.(approx)
The angle between the diagonal and the shorter side = 57 degrees.

Good Luck!!!