Answer:
a. 21.2
Step-by-step explanation:
Given: Angle B = 62 and side c = 24.
We have to find the length of b.
The given triangle is a right triangle because m∠C = 90 degrees.
To find the side b, we can use the sin ratio.
sin = opposite / Hypotenuse
Here opposite = b, hypotenuse = c = 24, angle B = 62
Therefore, sin 62 = [tex]\frac{b}{24}[/tex]
Multiplying both sides by 24, we get
24 sin 62 = b
[sin 62 = 0.883]
Now plug in sin 62 = 0.883 in the above equation, we get
24*0.883 = b
b = 21.2 [Rounded off to the nearest tenths place]
Answer: a. 21.2
