Answer to Question #304119 in Trigonometry for jose

Question #304119

the legs of a right triangle measure 5 inches and 7 inches


1
Expert's answer
2022-03-01T15:34:42-0500

Hypotenuse is 52+72=74.\sqrt{5^2+7^2}=\sqrt{74}. If θθ is the angle between the 7-inch leg and the hypotenuse then


cosθ=7740.8137,sinθ=5740.5812\cos \theta=\dfrac{7}{\sqrt{74}}\approx0.8137, \sin\theta=\dfrac{5}{\sqrt{74}}\approx 0.5812

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