Question

find: tan a
the figure is not drawn to scale.
answer
\\(\frac{40}{50}\\)
\\(\frac{40}{30}\\)
\\(\frac{30}{40}\\)
\\(\frac{30}{50}\\)

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for angle A

For angle A, opposite side is 30, adjacent side is 40.

Step3: Calculate $\tan(A)$

$\tan(A) = \frac{30}{40}$

Answer:

$\frac{30}{40}$ (corresponding to the option with $\frac{30}{40}$)