Arithmetic Aptitude :: Height and Distance
- The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?
- A kite is flown with a thread of length 200 meter. The thread is fully stretched and makes an angle of 60° with the horizontal, find the height of the kite above the ground.
- The top and bottom of a flag on a building subtend angles of 60° and 30° respectively at a point B which is 48 meter away from the building. Find the height of the flag?
- From the top of a lighthouse which is 90 m above the sea, the angle of depression of a ship is 60°. How far is the ship from the lighthouse?
- The angles of elevation of the top of a tower from the top and bottom of a tree of height 15 m are 30° and 60° respectively. Find the height of the tower?
- The distance between the tops of two trees is 16 m. If the heights of the trees are 20 m and 28 m respectively, find the horizontal distance between the two trees?
- There are two towers. The first tower of height 60 m casts a shadow of length 100m. At the same time if the second tower casts a shadow of length 140 m, find its height?