Question

Which trigonometric function would you use to find x?

Answer 1

• B) Cosine

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Recall definitions and consider given parameters.

We are given:

• Hypotenuse of 12 units,
• Missing leg x,
• Angle 54°, between the missing leg and hypotenuse.

Use cosine, which is defined as:

• cosine = adjacent leg / hypotenuse

Substitute:

• cos 54° = x/12
• x = 12*cos 54°

Use calculator to find the value of cos 54° and calculate x:

• x = 12*0.5878 = 7.0536

You can round the answer as required.