Question

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

Answer 1

52.1

Explanation:

Answer 2

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.