NEED HELP ASAP!! This is a trigonometry question and I really need help, I do not understand it at all. thank you.

AD = 11.87

Step-by-step explanation:

So first we need to figure out the missing angles.

In ΔBCD, we have two angles given, 40° and 25°, since the angles of a triangle must equal 180°, we need to subtract the sum of these two angles from 180° to find the remaining angle: 180° - (40° + 25°) = 115°

Now we can find the remaining angles in ΔABD. To find ∠D, we can subtract the 115° on the other side from 180° because segment AC is a straight line, which is 180°. This makes that angle 65°. Following the same steps we did before, we can subtract the sum of the two angles in the triangle from 180° to find the remaining angle: 180° - (68° + 65°) = 47°

Now that we have found all the angles, we can start finding the lengths of the segments by using the identity

So we only need one segment length, BD, in order to find segment AD. To find segment BD, we can use , in this case  

Solving this equation for BD, we get

Plugging in the values we have we get

Now we can go over to ΔABD and use , in this case  

Solving this equation for AD, we get

Plugging in the values we have we get

Segment AD = 11.87