A rectangle is 152 by 383 feet. Determine the length of the diagonal and the angle between the shorter side and the diagonal.
+26387 A rectangle is 152 by 383 feet. Determine the length of the diagonal and the angle between the shorter side and the diagonal.
\(\begin{array}{rcll} \text{diagonal} &=& \sqrt{ 383^2+152^2} \\ &=& \sqrt{ 169793 } \\ &=& 412.059461729\ \text{feet} \\\\ \tan{(\varphi)} &=& \frac{383}{152} \\ &=& 2.51973684211 \\ \varphi &=& \arctan{(2.51973684211)}\\ \varphi &=& 68.3535133795^\circ \end{array}\)
+26387 A rectangle is 152 by 383 feet. Determine the length of the diagonal and the angle between the shorter side and the diagonal.
\(\begin{array}{rcll} \text{diagonal} &=& \sqrt{ 383^2+152^2} \\ &=& \sqrt{ 169793 } \\ &=& 412.059461729\ \text{feet} \\\\ \tan{(\varphi)} &=& \frac{383}{152} \\ &=& 2.51973684211 \\ \varphi &=& \arctan{(2.51973684211)}\\ \varphi &=& 68.3535133795^\circ \end{array}\)
