Question

PLEASE HELP!!!!

Answer 1

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

 = 21.2

 answer is A

Answer 2

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 = $\frac{b}{24}$

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