Question

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

Answer 1

1) 15/square root of 346

2) 20.0ft

3) 19.5324

4) 53.1

5) 22.6

6) 53.1

7) 30,60,90

8) -70 degrees

9) 43pi/36

10) 855 degrees

Explanation:

Answer 2

c=19.5324

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)=(AC)/(AB)`

`\sin\left(55\right)=(16)/(c)`

`0.819152=(16)/(c)`

`0.819152c=16`

`c=(16)/(0.819152)`

`c=19.5323944762`

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