Answer:
The measure of ∠A = 58.0°
Step-by-step explanation:
we will use the trigonometry function "tan" to solve the question
∵ BC is the opposite side of ∠A
∵ AC is the adjacent side of ∠A
∵ tan A = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan A = [tex]\frac{BC}{AC}[/tex]
∵ BC = 8 units
∵ AC = 5 units
∴ tan A = [tex]\frac{8}{5}[/tex]
→ Use the inverse function of tan to find the measure of angle A
∵ m∠A = [tex]tan^{-1}(\frac{8}{5})[/tex]
∴ m∠A = 57.99461679°
→ Round it to the nearest tenth
∴ m∠A = 58.0°
∴ The measure of ∠A = 58.0°
