Question

How do you solve the right triangle given B=71degrees and b=24?

Answer 1

`A=19^@`
`B=71^@`
`C=90^@`
`a=8.26`
`b=24`
`c=25.38`

Explanation:

Angle B and C are given in the question. This leaves the final angle to be calculated;
`A=180^@-90^@-71^@=19^@`

The two remaining sides can be found using trigonometry.
`tan(71^@)=24/a`
`a=24/(tan(71^@))=8.26`

`sin(71^@)=24/c`
`c=24/(sin(71^@))=25.38`

Hope that helps :)