Answer:
104.65 m
Explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
- tan 57° = 3000 + x / h
- 1.54 = 3000 + x / h
- h = 3000 + x / 1.54 (Equation 1)
Plane 2 (48°)
- tan 48° = x / h
- 1.11 = x/h
- h = x/1.11 (Equation 2)
Equate Equations 1 and 2 :
- 3000 + x / 1.54 = x/1.11
- 1.11 (3000 + x) = 1.54x
- 3330 + 1.11x = 1.54x
- 0.43x = 3330
- x = 77.44 m
Taking the sin ratio to find distance :
- sin 48° = 77.44/distance
- 0.74 = 77.44/distance
- distance = 77.44/0.74
- distance = 104.65 m