**Question:** An airplane climbs at an angle of 11 degrees with the ground. What is the distance the airplane has travelled when it has attained an altitude of 300 metres?

**Solution:**

First, draw a right triangle. Label the angle of inclination of the plane and the altitude.

The question is asking for the diagonal distance, which corresponds to the distance that the plane has travelled. Therefore, we are finding the hypotenuse of the triangle.

By using SOH CAH TOA, we should see that we are using the sine ratio, as follows:

Therefore, the plane has flown approximately 1572 metres when it has reached an altitude of 300 metres.