Question

Which is the best approximation for the measure of angle ABC?

27.7°
31.7°
58.3°
62.3°

Answer 1

58.3

Explanation:

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Answer 2

58.3°

Explanation:

Missing Information:

In this question the diagram is missing Following are the attachment of diagram of the given question.

As we seen that the vertex c is making the right angle i,e 90° also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm

Now we have find the best approximation of the angle ABC used the cosx trigonometric function.

`cos\ x\ =\ (perpendicular)/(Hypotenuse) \\`

Putting the value of perpendicular and hypotenuse in the previous formula we get

`cos\ x\ =\ (10.5\ cm)/(20\ cm) \\`

`x\ =cos^(-1)\ 0.525\\x \ = \ 58.33`