Question

which is the best approximation for the measure of angle abc? 27.7° 31.7° 58.3° 62.3°

Explanation:

Step1: Identify right triangle at C

Triangle ABC is right-angled at C.

Step2: Define sides for angle B

Opposite: AC=20cm, Adjacent: BC=10.5cm.

Step3: Apply tangent ratio

$\tan(\angle ABC) = \frac{AC}{BC} = \frac{20}{10.5} \approx 1.9048$.

Step4: Calculate angle using arctangent

$\angle ABC = \arctan(1.9048) \approx 62.3^\circ$.

Answer:

E. 62.3°