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 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).

A boy saw the top of a building under construction at an elevation of 30^circ . The completed building was 12m higher and the boy saw its top, at an elevation of 60^circ from the same spot. a) Draw a rough figure based on the given details. b) What is the height of the building? c) What is the distance between the building and the boy?

A boy standing on the top of a tower 20 metrés height, saw the top of a building at an elevation of 50^circ and its base at a depression of 30^circ a) Draw a rough figure. according to the given data. b) find the distance between the tower and the building. c) find the distance from the top of the tower to the base of the building. d) find the height of the building. [sin 50^circ =0.77, cos 50^circ =0.64, tan 50^circ =1.2, 'sqrt3 =1.7]