A balloon is connected to a meteorological station by a cable of length 200 metres inclined at 60° to the horizontal. Determine the height of the balloon from the ground.

Two trees A and B are on the same side of a river. From a point C in the river, the distance of the trees A and B is 250 m and 300 m respectively. If the angle C is 45o find the distance b/w the trees (use root 2 = 1.44).

At the foot of the mountain, the elevation of its summit is 45°, after ascending 1000m towards the mountain up a slope of 30°, inclination the elevation found to be 60°. Find the height of the mountain.

From a window 15m high above the ground in a street, the angles of elevation and depression of the top and foot of another house on the opposite side of the street are 30° and 45° respectively. Show that the height of the opposite house is 23.66m. (take √3 = 1.732).

In rectangle ABCD, AB = 20cm and ∠BAC = 60°. Calculate the sides and diagonal AC and BD.