Question

Two horses are observed by a hang glider 80 meters above a meadow. The angles of depression are 10.4 and 8. How far apart are the horses?

Answer 1

Question

If we know the height and the angles of depression (we need to count that these on the same side from the hang glider), then we can find the distance between two horses by the next formula: $d = h \cdot \left( \frac{\cos \beta}{\sin \beta} - \frac{\cos \alpha}{\sin \alpha} \right) = 80 \cdot \left( \frac{\cos 8{}^\circ}{\sin 8{}^\circ} - \frac{\cos 10.4{}^\circ}{\sin 10.4{}^\circ} \right) = 133.3$ meters.

Answer: 133.3 m.