Geometry 30

the picture below shows a right-triangle-shaped charging stand for a gaming system:

which expression shows the length, bc, of the base of the stand?

In this triangle, , so

The expression to calculate the side BC is

Step-by-step explanation:

Notice that this is a problem of trigonometry in right triangles. So, the first step is to identify the data we have and the unknowns.

Then, the questions is: What trigonometrical functions relates the measure of an angle and the sides of a right triangle? The answer is: the tangent.

The formula for the tangent of B is opposite/adjacent; i.e.

Now, isolating the side BC

But the reciprocal function of the tangent is the cotangent, then

Finally, substituting the known values: