The top of two poles of height 24 m and 42 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of  x is:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 30⁰ and 60⁰. If the ships are $$230 \sqrt { 3} \ $$ m apart, then find the height of the light house (in m).