Question

Can u solve for x and y then round the answer to the nearest tenth If needed (30-60-90)

Answer 1

The right angled triangle shows the reference angle as 60 and that means the opposite side is y, the adjacent side is 3 (between the reference angle and the right angle) and the hypotenuse is x (facing the right angle).

Therefore, the trigonometric ratios to be used are as follows;

`\begin{gathered} \cos 60=(adj)/(hyp) \\ \cos 60=(3)/(x) \\ \text{Cross multiply and you have;} \\ x=(3)/(\cos 60) \\ x=(3)/(0.5) \\ x=6 \\ \text{Also,} \\ \tan 60=\frac{\text{opp}}{\text{adj}} \\ \tan 60=(y)/(3) \\ \text{Cross multiply and you have} \\ 3\tan 60=y \\ 3*1.73205080\ldots=y \\ y=5.1961524\ldots \\ To\text{ the nearest tenth} \\ y=5.2 \end{gathered}`

The answers are therefore;

x = 6

y = 5.2