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The angle of elevation at the top of a tower from two points on the level ground, a and b (a>b) from the base of the tower and in the same straight line with it are complementary. Find the height of the tower.
Multiply the equations (1) and (2),
The angle of elevation of the top of a tower at point on the ground is\(30^\circ \). If on walking 20m towards the tower, the angle of elevation becomes\(60^\circ \)then the height of the tower is
In,
In,
If the angle of elevation of the sun changed from\(30^\circ \)to\(60^\circ \)then the difference between the length of shadow of a pole 15m high made at these two position is
The distance between two multi storey buildings is 60m. The angle of depression of the top of first building as seen from the top of the second building which is 150m high is\(30^\circ \). The height of the first building is
In ,
Height=
The length of a string between a kite and a point on the ground is 90m. the string makes an angle of \(60^\circ \)with the level ground. The height of the kite if there is no slack in the string is
The string of a kite is 100m long and it makes an angle of\(60^\circ \)with the horizontal then the height of the kite is
The angle of elevation of the top of a tower a distance of\(\dfrac{{50\sqrt 3 }}{3}\)m from the foot is\(60^\circ \)then the height of tower is
The angle of elevation of the sun when the length of the shadow of a vertical pole is equal to its height is
The ration of the length of a rod and its shadow is\(1:\sqrt 3 \). The angle of elevation of the sun is
An observer 2m tall is 20m away from a tower. The angle of elevation of the top of tower his eyes is\(45^\circ \)
Height of the tower=20+2=22m
An electric pole is 10m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of\(45^\circ \)with the horizontal through the foot of the pole. Find the length of the wire.
From a point 20m away from the foot of a tower the angle of elevation of top of tower is\(30^\circ \). Find the height of the tower.
A circus artist is climbing a 20m long rope which is tightly stretched and tied frim the top of a vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is\(30^\circ \).
From a point on the ground, the angle of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are\(45^\circ \)and\(60^\circ \). Find the height of a tower.
A contractor plans to install two sides for the cylinder to play in a park. For the children below the age of 5 years, she prefer to have a side whose top is at a height of 1.5m and is inclined at an angle\(30^\circ \)to the ground where as for the elder children she wants to have a steep side at a height of 3m and inclined at an angle of\(60^\circ \)to the ground. What should be the length of the slide for younger children?
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of\(30^\circ \)with it. The distance between the feet of the tree to the point where the top touches the ground is 8m. Find the height of the tree.
Height of tree=
AB is a 6m high pole and CD is a ladder inclined at an angle of\(60^\circ \)to the horizontal and reaches up to a point D of pole. If AD=2.54m find the length of the ladder
An observer 1.7m tall is\(20\sqrt 3 \)m away from a tower. The angle of elevation from the eye of observer to the top of tower is\(30^\circ \). Find the height of tower.
The angles of depression of the top and bottom of a 50m high building from the top of a tower are\(45^\circ \)and\(60^\circ \)respectively. Find the height of the tower.
Height of tower=50+y=50+68.25(x=y)
=118.25m
A man is standing on a deck of a ship which is 10m high above the water level observes the angle of elevation of the top of a hill as\(60^\circ \)and angle of depression of the base of a hill as\(30^\circ \). Find the height of the hill.
Two men on either side of a 75m high building and in line with base of building observe the angles of elevation of the top of building as\(30^\circ \)and\(60^\circ \). Find the distance between two men
In triangle ABD,
Distance=x+y=129.75+25.95=155.7m
A 7m long flagstaff is fixed on the top of a tower standing on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are\(60^\circ \) and \(45^\circ \)respectively. Find the height of the tower.
An aero plane when flying at a height of 4000m from the ground passes vertically above another aero plane at an instant when the angle of elevation of the two places are\(60^\circ \)and\(45^\circ \). Find the vertical distances between the aero planes at that instant.
In,
A bird is sitting on the top of a 80m high tree. From a point on the ground, the angle of elevation of the bird is\(45^\circ \). The bird flies away horizontally in such a way that it remainder at a constant height from the ground. After 2 seconds the angle of elevation of the bird from the same point is\(30^\circ \). Find the speed of flying of the bird.
The tops of two towers of height x and y standing on level ground subtend angles of \(30^\circ \)and\(60^\circ \)respectively then find x:y.
A tower AB is 20m high and BC, its shadow on the ground is\(20\sqrt 3 \)m long. Find the sunâ€™s altitude
The angle of elevation of an aero plane from a point A on the ground is\(60^\circ \). After a flight of 15 seconds the angle of elevation changes to\(30^\circ \). If the aero plane is flying at a constant height of\(1500\sqrt 3 \)m. find the speed of the plane in m/s
A ladder leaning against a wall makes an angle of\(60^\circ \)with the horizontal. If the foot of the ladder is 2.5m away from the wall find the length of the ladder.
Two ships are there in the sea on either side of a light house in such a way that the ships and the light house are in the same straight line. The angles of depression as observed are \(60^\circ \)and\(45^\circ \). If the height of the light house is 200m. Find the distance between the two ships.
Distance
The horizontal distance between two poles is 15m. The angle of depression of the top of first pole as seen from the top of a second pole is\(30^\circ \). If the height of the second pole is 24m. Find the height of the first pole.
Also,