What is the length of Line segment A C? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

Question

Mathematics

Jase Petersen

3 April, 10:26

What is the length of Line segment A C? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

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Answers (1)

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Waylon Mcdonald · Answer 1

Line segment AC is 10 m

Step-by-step explanation:

Step 1: This is a right triangle, so the trigonometric ratio tan can be used to find the length of AC. Given CB = 15 m and ∠BAC = 55°,

tan 55° = opposite side/adjacent side = CB/AC = 15/AC

⇒ AC = 15/tan 55° = 15/1.43 = 10.50 m ≈ 10 m