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