Trigonometric Functions

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 31' at the eye of the observer on the earth. Find the radius of the moon.

Assuming the average distance of the earth from the sun to be 92,500,000 km and the angle subtended by the sun at the eye of a person on the earth to be 32', find the sun's diameter.

Assuming that a person of a normal sight can read print at such a distance that the letters subtend an angle of 5'at his eye. Find what is the height of the letters that he can read at a distance of 15 metres.

At what distance does a man, whose height is 6 feet, subtend an angle of 10' ?

Find the angle between the minute hand and the hour hand of a clock when the time is 7 : 20.

A train is travelling on a curve of 700 m radius at 14 km/hr, Through what angle will it turn in one minute ?