Question

use the triangle below to find \tan(a).

Explanation:

Identify the given sides relative to angle A

Using the Right Triangle Trigonometry knowledge point

• The side opposite to angle \(A\) is \(48\).
• The side adjacent to angle \(A\) is \(14\).

Apply the tangent ratio formula

Using the Trigonometric Ratios knowledge point

$$ \tan(A) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{48}{14} $$

Simplify the fraction

Using the Trigonometric Ratios knowledge point

$$ \tan(A) = \frac{24}{7} $$

Answer:

\(\tan(A) = \frac{24}{7}\)