Solve for the variable. *show your work*​

Step-by-step explanation: Notice that we have a 30° angle and we're given that the side opposite the 30° angle has a length of h and the side adjacent to the 30° angle has a length of 18.

Remember than so we can setup the equation tan 30° = h/18.

Solving for h, we multiply both sides of the

equation by 18 and we have (18)(tan 30°) = h.

From here, we enter this into our calculator to get 10.3923 or 10.4.

Instead of using trigonometry here, we could have also noticed that this is a special right triangle, a 30° - 60° - 90° triangle, which means that the long leg is √3 times the length of the short leg, so we could have setup an equation to find the value of h. Either way should be acceptable.

just needed some points but try socratic

a

step-by-step explanation: