Question

according to this diagram, what is tan 62°? a. $\frac{17}{15}$ b. $\frac{8}{15}$ c. $\frac{8}{17}$ d. $\frac{15}{8}$

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 62°

For the 62° angle in the given right - triangle, the side opposite to the 62° angle has length 15 and the side adjacent to the 62° angle has length 8.

Step3: Calculate tangent value

$\tan62^{\circ}=\frac{15}{8}$

Answer:

D. $\frac{15}{8}$