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.

Respuesta :

Answer:

  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°

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