# Given a rectangle (17.5cmxx26.2cm). Find the angle between the longer side and the diagonal.

Given a rectangle ($17.5cm×26.2cm$). Find the angle between the longer side and the diagonal.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

averes8
Let the needed angle be B, the length(17.5cm) be l and the width (26.2cm) be w. The diagonal creates a right triangle. Use the formula:
$\mathrm{tan}B=\frac{l}{w}$
$\mathrm{tan}B=\frac{17.5}{26.2}$
$B={\mathrm{tan}}^{-1}\left(\frac{17.5}{26.2}\right)$
$B\approx {33.7}^{\circ }$