An acute angle θ is in a right triangle with sin θ =2/3 . what is the value of cot θ?
i found that 2 is the opposite angle and 3 is the hypotenuse.
adj/opp = cot θ, so adj/2 = cot θ
i tried using the pythagorean theorem, but i can get an answer choice! ! !

The value of cot θ is:

We are given:

We know that the sine trignometric function is the ratio of the perpendicular to hypotenuse of the triangle corresponding to θ.

i.e. Perpendicular=2 units

and Hypotenuse = 3 units

We know that in a right angled triangle with leg lengths as a, b and hypotenuse c the Pythagorean Theorem says that:

This means we get Base=√5 units

Also, we know that:

                       Hence, we get:

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )