Draw diagram for the following situtions :
A person observes two banks of a river at angles of depression `theta_1" and "theta_2(theta_1lt theta_2)` from the top of a tree of height 'h' which is at a side of the river. The width of the river is 'd'.

A large balloon has been tied with a rope and it is floating in the air. A person has observed the balloon from the top of a building at angle of elevation of theta_1 and foot of the rope at an angle of depression of theta_2 . The height of the building is h feet. Draw the diagram for this data.

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^(@) . When he retires 40m from the bank, he finds the angle to be 30^(@) . The breadth of the river is

If cos theta- sin theta=(1)/(5), theta lt theta lt (pi)/(2) then match the following:

A person stading on the bank of a river observerves that the angle of elevation of the top of the tree on the opposite bank of the river is 60^(@) and when he retires 40 meters away from the tree the angle of elevation becomes 30^(@) . The breadth of the river is

If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

Which value of theta listed below leads to 2^(sin theta)gt1 and 3 cos (theta) lt 1 ?