Question

given the following triangle, \\(\tan \theta = \underline{quadquad}\\)
options: \\(\frac{5}{3}\\), \\(\frac{4}{5}\\), \\(\frac{4}{3}\\), \\(\frac{3}{4}\\)

Explanation:

Step1: Recall tangent definition

$\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify sides for $\theta$

Opposite side = 3, Adjacent side = 4

Step3: Calculate $\tan\theta$

$\tan\theta = \frac{3}{4}$

Answer:

$\frac{3}{4}$