Question

this is a practice test
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 tangent of an angle in a right - triangle is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

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

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

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

Answer:

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