Question

timed problem
score: 2/10 current time: 29.9
find: \\(\tan a\\)
\\(\text{the figure is not drawn to scale}\\)
answer
\\(\frac{60}{45}\\) \\(\frac{45}{75}\\) \\(\frac{45}{60}\\) \\(\frac{60}{75}\\)

Explanation:

Step1: Recall tangent ratio definition

For angle $A$ in a right triangle, $\tan A = \frac{\text{opposite side to } A}{\text{adjacent side to } A}$

Step2: Identify relevant sides

Opposite side to $A$ is $45$, adjacent side is $60$.

Step3: Substitute values into ratio

$\tan A = \frac{45}{60}$

Answer:

$\boldsymbol{\frac{45}{60}}$ (matches the third option)