Question

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

Answer 1

Answer:

58.3°

Step-by-step 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.

$cos\ x\ =\ \frac{perpendicular}{Hypotenuse}$

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

$cos\ x\ =\ \frac{10.5\ cm}{20\ cm}$

$x\ =cos^{-1}\ 0.525\\x \ = \ 58.33$