What is the value of tangent theta in the unit circle below?

a unit circle is shown. a radius with length 1 forms angle theta in the first quadrant. the radius goes to points (startfraction startroot 3 endroot over 2 endfraction , one-half) on the unit circle.

Explanation:

Tangent trigonometric ratio is defined as the quotient of the opposite leg divided by the adjacent leg of an angle in a right triangle.

In a unit circle, the length of the opposite leg is the y-coordinate and the length of the adjacent leg is the x-coordinate.

As per the description the radius goies to point:

Thus, the tangent is:

d? maybe

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.