Question

What is tan C ?

Figure shows right triangle A B C. Angle B is a right angle. Segment A B is 11 units. Segment B C is 22 units.


Express your answer as a simplified fraction.


Question 1 options:


1/2


1/4


1/3


2/1

Answer 1

`(1)/(2)`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC of the figure, the tangent of angle C is equal to divide the opposite side to angle C (side AB) by the adjacent side to angle C (side BC)

so

`tan(C)=(AB)/(BC)`

substitute the given values

`tan(C)=(11)/(22)`

simplify

`tan(C)=(1)/(2)`