Question

note: figure not drawn to scale. in the triangle shown, what is the value of tan x°? a) $\frac{1}{26}$ b) $\frac{19}{26}$ c) $\frac{26}{7}$ d) $\frac{33}{7}$

Explanation:

Step1: Recall tangent formula

The formula for the tangent of an angle in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

For angle $x^{\circ}$, the side opposite to it has length 26 and the side adjacent to it has length 7.

Step3: Calculate $\tan x^{\circ}$

$\tan x^{\circ}=\frac{26}{7}$

Answer:

C. $\frac{26}{7}$