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3 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

schepotkina [342]3 years ago

6 0

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

= 21.2

answer is A

MA_775_DIABLO [31]3 years ago

6 0

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

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