Question

WHY IS THE ANSWER AT THE BOTTOM CORRECT?

The diagram below shows the map of a mine.

How deep is the mine shaft?

.8 tan 25˚

Answer 1

We know that for a right triangle, \[\tan \theta = \frac{opp}{adj}\]where theta is a known angle, opp is the side opposite to the angle, and adj, is the side adjacent to the angle (hyp is the hypotenuse.) We know theta is 25 and adjacent is 8 so \[\tan 25=\frac{x}{8}\]