Question

If b=13 and A=76 degrees, then find a.

Answer 1

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 = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(76)° = $\frac{BC}{AB}$

             = $\frac{a}{b}$

4.01 = $\frac{a}{13}$

a = 13 × 4.01

a = 52.13

a ≈ 52.1

Therefore, Option (D). will be the answer.