Question

Pls help! Step by step:)

Answer 1

`(5)/(12)`

Explanation:

`\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=(O)/(H)\quad\cos(\theta)=(A)/(H)\quad\tan(\theta)=(O)/(A)$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}`

From inspection of the given right triangle:

• θ = 30°
• O = 5
• A = 12
• H = 13

Substitute the values into the tan trigonometric ratio:

`\implies \tan(30^(\circ))=(5)/(12)`

Answer 2

tan30° =
`(5)/(12)`

Explanation:

tan30° =
`(opposite)/(adjacent)` =
`(5)/(12)`