Question

If b=33.2 and B=61° find a (picture provided)

Answer 1

For this case we have to, by definition:

`tg (B) = \frac {33.2} {a}`

This means that the tangent of angle B will be equal to the leg opposite the angle on the leg adjacent to the same angle.

Then, clearing to have:

`a = \frac {33.2} {tg (61)}\\a = \frac {33.2} {1.80404776}\\a = 18.403060`

Rounding out the value of a we have:

`h = 18.4`

Answer:

Option C

Answer 2

The correct answer is option c. 18.4

Explanation:

Points to remember:-

Trigonometric ratio

Tan θ = Opposite side/Adjacent side

From the figure we can see a right triangle triangle ABC

To find the value of a

It is given that, b=33.2 and B=61°

Tan 61 = opposite side/Adjacent side

Tan 61 = b/a

a = 33.2/Tan 61 = 18.4

Therefore the correct answer is option c. 18.4