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

For this case we have to, by definition:
[tex]tg (B) = \frac {33.2} {a}[/tex]
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:
[tex]a = \frac {33.2} {tg (61)}\\a = \frac {33.2} {1.80404776}\\a = 18.403060[/tex]
Rounding out the value of a we have:
[tex]h = 18.4[/tex]
Answer:
Option C
Answer:
The correct answer is option c. 18.4
Step-by-step 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