Question

Please help me and explain the math.

Answer 1

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 = $\frac{opposite}{adjacent}$

∴ tan A = $\frac{BC}{AC}$

∵ BC = 8 units

∵ AC = 5 units

∴ tan A = $\frac{8}{5}$

→ Use the inverse function of tan to find the measure of angle A

∵ m∠A = $tan^{-1}(\frac{8}{5})$

∴ m∠A = 57.99461679°

→ Round it to the nearest tenth

∴ m∠A = 58.0°

∴ The measure of ∠A = 58.0°