Question

find the exact value of tan o in simplest radical form.

triangle image with right angle at n, hypotenuse mo = 15, leg on = 9, leg mn = 12

answer
attempt 1 out of 2
tan o = blank submit answer

Explanation:

Step1: Recall tangent definition

For an angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle O$

Opposite side to $\angle O$: $MN = 12$; Adjacent side to $\angle O$: $ON = 9$

Step3: Substitute and simplify

$\tan O = \frac{12}{9} = \frac{4}{3}$

Answer:

$\frac{4}{3}$