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

Question

asked Feb 17, 2021 58.5k views

2 Answers

Dmitriy Doronin · Answer 1 · 2021-02-23T06:31:38+0000

Answer:

Option (D).

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)° =
(BC)/(AB)

=
(a)/(b)

4.01 =
(a)/(13)

a = 13 × 4.01

a = 52.13

a ≈ 52.1

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