Answer:
The measure of angle A is:
m ∠ A = 53.13°
Step-by-step explanation:
Given
The length AC = 3 cm
The length BC = 4 cm
To determine
m ∠ A = ?
Using the trigonometric ratio
tan A = opposite / adjacent
From the right-angled triangle, as shown, it is clear that:
- The opposite of m ∠ A is the side BC = 4 cm
- The adjacent of m ∠ A is the side AC = 3 cm
Thus, substitute opposite = 4 and adjacent = 3
tan A = 4 / 3
A = arctan (4/3)
A = 53.13°
Therefore, the measure of angle A is:
m ∠ A = 53.13°
