Question

Solve the right triangle. Round your answers to the nearest tenth.

Answer 1

Explanation:

The sum of the three angles in a triangle is
`\ang{180}`.

We know that a right angle is
`\ang{90}`, and we are given another angle that is
`\ang{50}`, so that means that angle
`B` is:

`B + 50 + 90 = 180`

`B + 140 = 180`

`B = 40`

To find side length
`a`, we can use the
`sin` function:

`sin(\ang{50}) = (a)/(20)`

`20 * 0.766 = a`

`a = 15.32`

To find side length
`b`, we can again use the
`sin` function:

`sin(\ang{40}) = (b)/(20)`

`20 * 0.643= b`

`b = 12.86`