The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below.

An observer 1.5m tall is 30metres away from a tower,50m high.Determine the angle of elevation from his eyes to the top of the tower.

A man standing on the deck of a ship which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60° and angle of depression of the base of a hill as 30°. Calculate the distance of the hill from the ship and the height of the hill.

A man is standing on the deck of a ship which is 25m above water level. He observes the angles of elevation of the top of a lighthouse as 60° and the angle of depression of the base of light house as 45°.Calculate the height of the light house.

From a window h m high above the ground in a street, the angles of elevation and depression of the top and foot of the other house on the opposite side of the street as alpha and beta respectively show that height of the opposite house is h(1+tan alpha cos beta)m .

A drunkard walking in a narrow lane takes 5 steps forward and * 3 steps backward, followed again by 5 steps fonvard and 3 steps backward, and S0 on. Each step is 1 m long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.

As observed from the top of a light house, 100m high above sea level, the angle of depression of a ship sailing directly towards it, changing from 30° to 60°.Determine the distance travelled by the ship during the period.