Question

The tangent of angle of elevation α of top of a lighthouse, as observed by a person on the ground is 5/12. When the person moves a distance of 240 m towards the lighthouse the tangent of angle of elevation β becomes 3/4. Find the height of the lighthouse

Answer 1

Step-by-step explanation:

The angle of elevation Φ of the top of a lighthouse as seen by a person on the ground is such that tanΦ = 5/12. When the person moves a distance of 240m towards the lighthouse, the angle of elevation becomes Φ, such that tanΦ=3/4.