Question

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

Answer 1

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