Question

Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!​

Answer 1

102.61

Explanation:

assuming that QS is the hypothesis we us the fromula like this:

`30cos(73)`

which gives us 8.7711511417 or we can round to 8.77

assuming that QS is the adjacent we use:

`(30)/(cos(73))`

which gives us 102.609108595 or rounded to 102.61

looking at both answers we can see that 102.61 would be the correct answer.

Answer 2

Explanation:

The law of cosine states that:

`C^2=B^2+A^2-2AB\cos(\theta)`, where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.

In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:

`C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=√(21^2+30^2-2\cdot21\cdot30\cos(73))=\boxed{31.186722}` (to nearest 6 digits)