Answer:
A= 57° , a= 7.79 and c = 14.30
Explanation:
In a given right triangle,
We have, b =12 ,B =33° and C =90°
We can find Angle A.
Angle sum property of triangle:
i.e A + B + C = 180°
A + 33° + 90° = 180°
A = 57°
Next, by using trigonometry
tanB = Perpendicular /Base = a /b
Here B =33° , a = ? , b = 12
So, tan 33° = a/12
0.6494 = a/12
a = 7.79
So we got a and b. By using Pythagoras theorem we determine c.
c^2 = a^2 + b^2
c^2 = 7.79^2 + 12^2
c = √(2046841) = 14.30