Answer:
The value of b is 7.7
Step-by-step explanation:
In the given diagram
Hypotenuse = BC = 12
Base = AB = 10
Perpendicular = AC = b = ?
We will use the trigonometric ratios to find the length of b
As we know that the only given angle is 40°
So,
[tex]sin\ B = \frac{AC}{BC}\\sin\ 40 = \frac{b}{12}\\0.64278 = \frac{b}{12}\\b = 0.64278*12\\b = 7.71336[/tex]
Rounding off to nearest tenth
b = 7.7
Hence,
The value of b is 7.7
