Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.
| Question | Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships. | |
| Type | multiple_choice | |
| Option | 155.80 m | incorrect |
| Option | 157.80 m | correct |
| Option | 159. 80 m | incorrect |
| Option | 161.80 m | incorrect |
Let AB be the height of lighthouse and C and D be the positions of the ships.
AB = 100 meters, ∠ACB = 45°, ∠ADB = 60°
AC = AB (100m)
AC = 100 m
Distance between ships, CD = AC + AD
