Given a right △ABC, where AB = 4.5 cm, BC = 7.794 cm, and AC = 9 cm, sketch the triangle below, and find the measure m∠C in degrees, rounded to the nearest tenth, if necessary.

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Mathematics

31 July, 17:19

Given a right △ABC, where AB = 4.5 cm, BC = 7.794 cm, and AC = 9 cm, sketch the triangle below, and find the measure m∠C in degrees, rounded to the nearest tenth, if necessary.

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Roberto Hendrix · Answer 1

30°

Step-by-step explanation:

The ratio of the side opposite (AB) to the hypotenuse (AC) is ...

4.5/9 = 1/2

From your memory of a short table of trig functions you know this is the sine of 30°. From the mnemonic SOH CAH TOA, you know that

Sin = Opposite/Hypotenuse

Putting these facts together gets you ...

sin (C) = 1/2 = sin (30°)

C = 30°