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

27.7°
31.7°
58.3°
62.3°

The best approximation for the measure of angle ABC is:

Third option: 58.3°

Step-by-step explanation:

This is a right triangle, because it has an angle of 90° (right angle) in vertex C, and we need one of the acute angles "x". We have the side opposite to the angle of 90° (right angle), this is the longest side in the right triangle, the Hypotenuse: H=20 cm

We have one of the legs (the sides form the right angle), and this leg is the Adjacent leg: A=10.5 cm to the angle "x".

To find the angle "x" we must use the trigonometric function that relates its adjacent leg (A) with the hypotenuse (H), and this function is cosine:

cos x = Adjacent Leg / Hypotenuse

cos x = A / H

Replacing the known values:

cos x = 10.5 cm / 20 cm

cos x = 0.525

Solving for x:

Rounding to 1 decimal place:

x=58.3°

1. 34

2. 268

3. x=14.4

step-by-step explanation:

practice. practice. practice.