Question

The diagram below shows the map of a mine.
How deep is the mine shaft?

Answer 1

Let side BC = d
tan 25 degrees = d/8
d = 8 tan 25 degrees

Answer 2

Hint: the tangent function relates the lengths of the opposite side \(\mathcal O\) and the adjacent side \(\mathcal A\) through the corresponding angle \(\theta\) in the following manner (by definition).\[\tan \theta = \frac{\mathcal O}{\mathcal A}\]What are \(\mathcal O\), \(\mathcal A\), and \(\theta\) in your problem?

Answer 3

Can you use your calculator to find the depth d = 8 tan 25 degrees?