To solve this, we will need to use some trigonometry. Hooray for SOHCAHTOA! 🙂

We are given one of the acute angles, 40*, and the measure of one of the legs, so we will use this information to choose which trigonometric functions to use.

For the leg, we know the angle measure, the side adjacent to it, and are looking for the side opposite, so we’ll use tangent:

Use the scientific mode of your calculator to solve:

l = 6.7

Next, we know the angle measure, the adjacent side and we need to find the hypotenuse, so we will use cosine.

Use the scientific mode of your calculator to solve:

h = 10.4