Question

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

Answer 1

Answer:

c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

a.) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b.) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d.) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer 2

⁻⁻Using Sine ratio: opposite / Hypotenuse

Opposite to angle A = 24, Hypotenuse = 25

Sin A =  24 / 25

Sin A = 0.96

A = Sin⁻¹(0.96)         Use a calculator.

A ≈73.74°

A ≈ 73.7°

∠A + ∠B = 90°      Since it is a right angled triangle.

∠B = 90° - ∠A

∠B = 90° - 73.7°

∠B = 16.3°

Answer:

(c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C = 90°