Answer:
A = 12° b = 192.89 Units c = 197.20 Units
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering triangle ΔABC, where ∠B=78°, a = 41 units,
As such, with respect to angle B, c is the hypotenuse, b is the opposite side and a is the adjacent side
Tan 78 = b/41
b = 41 Tan 78°
= 192.89 Units
Cos 78° = 41/c
c = 41/ cos 78°
= 197.20 Units
Since angle C is a right angle (90°), and the sum of angles in a triangle is 180° then
A + 78 + 90 = 180
A = 12°
