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Lemur [1.5K]
4 years ago
11

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 th

e length of the hypotenuse to the nearest tenth.
Mathematics
1 answer:
pashok25 [27]4 years ago
8 0

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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