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From point A, a perpendicular AC and a slope AB are drawn to plane a A.D. Find the length of the slope AB, IF

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Answer to a math question From point A, a perpendicular AC and a slope AB are drawn to plane a A.D. Find the length of the slope AB, IF

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Bud
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рішення: За теоремою Піфагора, AD^2=AC^2+CD^2 AC^2=AD^2-CD^2 AC=\sqrt{AD^2-CD^2} AC=\sqrt{20^2-12^2} AC=\sqrt{400-144} AC=\sqrt{256} AC=16см За тригонометрією прямокутного трикутника, \sin\theta=\frac{проти {гіпотенузи} \sin\кут ABC=\frac{AC}{AB} AB=\frac{AC}{\sin\angle ABC} AB=\frac{16}{\sin45^{\circ}} AB=16\sqrt{2}см Відповідь: AB=16\sqrt{2}см

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