Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

timed problem score: 8/10 current time: 121.8 find: tan a *the figure i…

Question

timed problem
score: 8/10 current time: 121.8
find: tan a
the figure is not drawn to scale
answer
$\frac{14}{48}$ $\frac{48}{50}$ $\frac{14}{50}$ $\frac{48}{14}$

Explanation:

Step1: Recall tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$ for an acute angle $\theta$.

Step2: Identify opposite and adjacent sides to angle A

For angle $A$ in the given right - triangle, the side opposite to angle $A$ has length $14$ and the side adjacent to angle $A$ has length $48$.

Step3: Calculate $\tan A$

$\tan A=\frac{14}{48}$

Answer:

$\frac{14}{48}$