Question

Find the exact value of tan A in simplest radical form.

Answer 1

Answer:

$tan(A) = \frac{2\sqrt{15}}{11}$

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

$tan(A) = \frac{opposite}{adjacent}$

Opposite = 60

Adjacent = 11

$tan(A) = \frac{60}{11}$

$tan(A) = \frac{\sqrt{4*15}}{11}$

$tan(A) = \frac{2\sqrt{15}}{11}$