Question

question 8 of 26
in the triangle below, which of the following is equivalent to the tangent of 62°?
image of a right triangle with hypotenuse 25, vertical leg 7, horizontal leg 24, angles 16° and 62°

a. \\(\frac{24}{25}\\)

b. \\(\frac{7}{24}\\)

c. \\(\frac{7}{25}\\)

d. \\(\frac{24}{7}\\)

Explanation:

Step1: Recall tangent definition

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

Step2: Identify sides for 62°

For $62^\circ$, opposite side is 24, adjacent side is 7.

Step3: Calculate $\tan(62^\circ)$

$\tan(62^\circ) = \frac{24}{7}$.

Answer:

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