Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
Triangle ACB is a right triangle having,
Leg AC = b = 13
Leg BC = a
Angle A = 76°
and, Hypotenuse AB = c
By applying tan rule in the given triangle,
tanA = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(76)° = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{a}{b}[/tex]
4.01 = [tex]\frac{a}{13}[/tex]
a = 13 × 4.01
a = 52.13
a ≈ 52.1
Therefore, Option (D). will be the answer.
