Question

A rectangle is 14 Cm wide and 48 cm long. How do you find the measure of the acute angle between its diagonals?

Answer 1

`2 tan^{-1} (14/48) ~~32.5^circ`

Explanation:

If you construct lines bisecting the two sides and the diagonals is is easy to see that the acute angle between the diagonals is twice the angle in a right angled triangle whose base is 48 cm and opposite side is 14 cm.

Thus the angle we want is

`2 tan^{-1} (14/48) ~~32.5^circ`