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2 January, 20:39

In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find the length of the hypotenuse to the nearest tenth.

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  1. 2 January, 20:43
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    The hypotenuse is 20 ft

    Step-by-step explanation:

    Step 1: This is a right triangle, so the trigonometric ratio cosine can be used to find the length of the hypotenuse. Given side opposite to ∠B, AC = 18 ft and ∠A = 40°,

    cos 40° = adjacent side/hypotenuse = AC/AB = 18/AB

    ⇒ AB = 18/cos 40° = 18/0.76 = 23.5 ft ≈ 20 ft
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