Find the length of side AC. Give your answer to 1 decimal place. 68 A 7 cm

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Answer:

17.3 cm

Step-by-step explanation:

(refer to the attached for reference)

since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.

In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.

From trigonometry, the following relationship may be formed:

tan (68°) = opposite length / adjacent length

tan (68°) = AC / AB

tan (68°) = AC / 7 (multiply both sides by 7)

7 tan (68°) = AC (rearrange)

AC = 7 tan (68°) (solve using calculator)

AC = 17.3256

AC = 17.3 cm (1 dec pl)

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