Answer:
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
Solving, we get:
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers: