In a model of ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28m, how long is the model ship?

A steel tape 1m long is correctly calibrated for a temperature of 27.0 ^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ^@C . What is the actual length of the steel rod on that day? What Is the length of the same steel rod on a day when the temperature is 27.0 ^@C ? Coefficient of linear expansion of steel = 1.20xx10^-5 K^-1 .

As observed from the top of a 75 m high lighthouse from the sea-level,the angles of depression of two ships are 30^@ and 45^@ .If one ship is exactly behind the other on the same side of the lighthouse,find the distance between the two ships.

A 5m 60 cm high vertical pole caste a shadow 3m 20 cm long. Find at the same time (i) the length of the shadow cast by another pole 10 m 50 cm high (ii) the height of apole which caste a shadow 5m long.

The length of the shadow of a 9 m high verticel post is 3sqrt3 m.Find the altitude of the sun.[The altitude of the sun is the angle of elevation of the vertex of the post from the front of the shadow of the post].

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.

A spaceship is stationed on Wlars. How much energy must be expended on the spaceship to launch it out of the solar system? Mass of the space ship = 1000 kg, mass of the Sun = 2 xx 10^30 kg, mass of mars = 6.4 xx-10^23 kg, radius of mars = 3395 km, radius of the orbit of mars = 2.28 x 10^8 kg, G= 6.67 xx 10^-11 m^2kg-^2 .

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.

A body is projected downward at an angle 60^@ with the horizontal with a velocity 9.8 ms^-1 form building 20m high. How long will it take before striking the ground.