Question

Which ratio in this triangle represents tan θ?

Answer 1

Answer:   $\dfrac{3}{4}$

Step-by-step explanation:

We know that ,

According to trigonometry,  the ratio of side opposite to an angle to the side adjacent to that angle is equals to the tangent of that angle.

In the given picture we have right triangle  ,

The side adjacent to $\theta$ = 8 units

The side opposite to $\theta$ = 6 units

Then,

$\tan\theta=\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}\\\\=\dfrac{6}{8}=\dfrac{2\times3}{2\times4}=\dfrac{3}{4}$

Hence, the ratio in this triangle represents tan θ = $\dfrac{3}{4}$

Answer 2

Tangent is opposite to adjacent, so 6/8, which is 3/4