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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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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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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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