Question

question 7 of 25 according to this diagram, what is tan 74°? a. $\frac{24}{25}$ b. $\frac{7}{24}$ c. $\frac{25}{7}$ d. $\frac{24}{7}$ e. $\frac{7}{25}$

Explanation:

Step1: Recall tangent - ratio formula

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

Step2: Identify sides for $\theta = 74^{\circ}$

For the $74^{\circ}$ angle, the opposite side is 24 and the adjacent side is 7.

Step3: Calculate $\tan74^{\circ}$

$\tan74^{\circ}=\frac{24}{7}$.

Answer:

D. $\frac{24}{7}$