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GrogVix [38]
3 years ago
5

Find c, the hypotenuse, rounded to four decimal places, in a right triangle with b = 16 and B = 55

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

c=19.5324

Step-by-step explanation:

In given triangle ABC, we have been give values of angle B=55 degree, angle C is right angle and b=16.

Now using those values, we need to find the value of side b.

apply  formula of sin

\sin\left(B\right)=\frac{AC}{AB}

\sin\left(55\right)=\frac{16}{c}

0.819152=\frac{16}{c}

0.819152c=16

c=\frac{16}{0.819152}

c=19.5323944762

Hence final answer rounded to four decimal places is c=19.5324

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