Question: The area of a right triangle with hypotenuse H is given by the formula \(A=\frac{1}{4}{{H}^{2}}\sin \left( 2\theta \right)\), where \(\theta \) is one of the acute angles. use differentials to estimate the relative errors of the area A if H = 4cm exactly and theta is measures to be 30 degrees with an error of measurement +/- 15'.