Answer:
c = 197.2
b = 192.9
Angle C = 90°
Angle A = 12°
Explanation:
the side a = 41 and the angle B = 78°, we can use a sine and a tangent to find the hypotenuse and the other side.
Using a sine, cosine, or tangent depends on which side and angle you know.
sin A =opposite/hypotenuse = a/c
Cos B = adjacent/hypotenuse = a/c
Cos78 = 41/c
c = 41/Cos 78
c = 41/0.2079
c = 197.21
c = 197.2
Since it is a right angle triangle, let's apply Pythagoras theorem to find the other side.
Hypotenuse ² = opposite ² + adjacent²
c² = a² + b²
197.2² = 41² + b²
b² = 197.2² - 41²
b² = 38887.84 - 1681
b² = 37206.84
b =√37206.84
b = 192.89
b = 192.9
Angle C = 90°
Angle A = 180-(90 +78)
(sum of angles in a triangle =180°)
Angle A = 180-168
Angle A = 12°