In right triangle ABC, where C is the right angle : b = 12 and B = 33°. Find A, a, and c to the nearest tenth.

A = 57°, a = 7.79 and c = 14.30

Step-by-step 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