Home
Class 10
MATHS
A girl standing on a lighthouse built on...

A girl standing on a lighthouse built on a cliff near the seashore, observes two boats due East of the lighthouse. The angles of depression of the two boats are `30^@` and `60^@`. The distance between the boats is 300 m:-Find the distance of the top of the lighthouse from the sea level.(Boats and foot of the lighthouse are in a straight line).

Promotional Banner

Similar Questions

Explore conceptually related problems

A girl standing on a lighthouse built on a cliff near the seashore, observes two boats due East of the lighthouse. The angles of depression of the two boats are 30^@ and 60^@ . The distance between the boats is 300 m:-Draw a rough figure based on the given details.

A tree breaks due to a strom and the broken part bends so that the top of the tree touches the ground making an angle 30 with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree.

One sees a boat in the sea, on the top of a light house at a depression of 20^circ . After sometimes he sees the boat at a depression of 30^circ . If the height of the lighthouse is 160 meter. What distance will the boat travel during this time? [tan 20=0.3640 , tan 30=0.5774]

A boy is standing between two building of equal height. The boy and the buildings are in a straight line. He see the tops of those buildings at elevations of 45^o and 30^o . The nearest building is 20 metres away from him. Find the height of the buildings and distance between the buildings.