Two trees, A and B are on the same side of a river. From a point C in the river the distance of trees A and B are 25 m and 300 m respectively. If the angle `C` is `45^0` , find the distance between the trees `(u s e\ sqrt(2)=1. 44)`

Two men are on the opposite sides of a tower. They measure the angles of elevation of the top of the tower as 45^(@) and 30^(@) respectively. If the height of the tower is 40 m, then the distance between the men is

Two people standing on the same side of a tower in a straight line with it, measure the angles of elevation of the top of the tower as 25^(@) and 50^(@) respectively. If the height of the tower is 70 m, find the distance between the two people

What is the distance between the points A(c ,\ 0) and B(0,\ -c) ?

On the same side of a tower, two objects are located. When observed from the top of the tower, their angles of depression are 45o and 60o . If the height of the tower is 150m, find the distance between the objects.

Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60^(@)" and "45^(@) respectively. If the height of the tower is 15 m, then find the distance between these points.

From the top of a 96 m tower, the angles of depression of two cars, on the same side of the tower are alpha" and "beta respectively. If tanalpha=1/4" and "tanbeta=1/7 , then find the distance between two cars.

Two towns A and B are situated on the same side of a straight road at distances a and brespectively perpendiculars drawn from A and B meet the road at point C and D respectively.The distance between C and D is c. A hospital is to be built at a point P on the road such thatthe distance APB is minimum. Find position of P.

There is a small island in the middle of a 100m wide river and a tall tree stands on the island. P and Q are points directly opposite to each other on two banks and in line with the tree. If the angles of elevation of the top of the tree from P and Q are respectively 30o and 45o , find the height of the tree.

Velocity of the boat with respect to river is 10 m/s. From point A it is steered in the direction shown to reach point C. Find the time of the trip and distance between B and C

From a point of a bridge across a riuver, the angles of depression of the banks on opposite sides of the river are 30^(@) and 45^(@) , respectively. IF the bridge is at a height of 10 m from the banks, then find the width of the river. (Use sqrt3=1.73 )