Question

Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

A) ∠A ≈ 47.9°, ∠B ≈ 53.1°, ∠C ≈ 14.5°

B) ∠A ≈ 64.3°, ∠B ≈ 36.9°, ∠C ≈ 23.6°

C) ∠A ≈ 30.3°, ∠B ≈ 42.7°, ∠C ≈ 86.2°

D) ∠A ≈ 21.8°, ∠B ≈ 71.6°, ∠C ≈ 35.9°

Answer 1

The measures of ∠A, ∠B, and ∠C are approximately 30.1°, 48.7°, and 14.5°, respectively.

Step-by-step explanation:

To approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree, we need to refer to the given options. We can rule out options C and D since the measures of ∠A, ∠B, and ∠C are not within the given ranges. To determine the correct option, we can use the provided information that 29° is approximately equal to (2)(15.56°) which is approximately 31.1°. Based on this, the correct option is A) ∠A ≈ 30.1°, ∠B ≈ 48.7°, and ∠C ≈ 14.5°.