Question

Set up the trig function to solve for d.

Answer 1

You can do Tan(Theta)=1/d

Explanation:

First of all with this in order to set up the trig function you have to set up a tangent function as you don't know the hypotenuse. Now in order to set up the function you would do Tan(Theta)=1/d because tan is opposite over adjacent. Knowing this you can set it up using theta so that you would have Tan(Theta)=1/d which is the trig function to solve d

Answer 2

tan(θ) = 1/d

d = cot(θ)

Explanation:

You want the length d shown in the attached diagram.

Tangent

The diagram shows labels on the side adjacent and the side opposite the marked angle. This suggests the tangent function could be of use:

Tan = Opposite/Adjacent

tan(θ) = 1/d . . . . . . . this might be the "setup" being asked for

Solution

Solving for d, we have ...

d = 1/tan(θ)

Using the relationship between tangent and cotangent, we can write this more simply as ...

d = cot(θ)