Answer:
A = 48.81°
Step-by-step explanation:
Angles in a Right Triangle
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:
[tex]\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
Opposite leg to angle A is 8 and adjacent leg is 7, thus:
[tex]\displaystyle \tan A=\frac{8}{7}[/tex]
Using the inverse tangent funcion:
[tex]\displaystyle A=\arctan\frac{8}{7}[/tex]
Calculating:
A = 48.81°
