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The angles of elevation of the top of a tower from two points distance a and b from the base and in the same straight line with it, are complementary then the height of the tower is :
Let
â€¦(1)
â€¦(2)
The ratio of the length of a rod and its shadow is \(1:\sqrt3 \). The altitude of the sun is :
The angle of elevation of a cloud from a point h metres above a lake is \(\theta \). The angle of depression of its reflection in the lake is 45Â°. The height of the cloud is :
The height of a tower is 50m. When the sunâ€™s altitude changes from \(30^o \) to \(45^o \), the shadow of the tower becomes x metres less. The value of x is :
If the angle of elevation of a building from a distance of 100 m from its foot is \(60^o \), then the height of the building is :
From the top of a cliff 50 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is :
Also
So
Height of the tower
The altitude of the sun is \(60^o \). The height of a tower which casts a shadow of length 30 m is :
A pole subtends an angle of \(30^o \) at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the pole is \(60^o \). The height of the pole is :
The angle of elevation of the top of a tower from a point P on the ground is \(\alpha \). After walking a distance d towards the foot of the tower, angle of elevation is found to be \(\beta \). The height of the tower is
Also
So,
The length of the shadow of a tower standing on level plane is found to be 2x metres longer when the sunâ€™s altitude is \(30^o \) than when it was \(45^o \). The height of the tower is :
As observed from the top of a 75 m high lightâ€“ house from the seaâ€“level, the angles of depression of two ships are \(30^o \) and \(45^o \). One ship is exactly behind the other on the same side of the lightâ€“house. The distance between the two ships is :
The persons are a metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the short person is :
If the altitude of the sun is \(60^o \), the height of the tower which casts a shadow of length 30 m is :
The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of \( 30^o\) with the horizontal, then the length of the wire is :
The length of the string of a kite flying at 100 m above the ground with the elevation of \(60^o \) is :
Let both of string be
A ladder of 10 m length touches a wall at height of 5 m. The angle \(\theta \) made by it with the horizontal is :
The measure of angle of elevation of top of a tower \(75\sqrt3 \) m high from a point at a distance of 75 m from foot of the tower in a horizontal plane is :
Let the angle of elevation be
A pole 10 m high casts a shadow 10 m long on the ground, then the sunâ€™s elevation is :
The angle of depression from the top of a tower 12 m high, at the point on the ground is \(30^o \). The distance of the point from the top of the tower is
A tree casts a shadow 4 m long on the ground, when the angle of elevation of the sun is \(45^o \). The height of the tree (in metres) is :
In a triangle with me angle and other , the third angle is bound to be , So height of the tree is 4m
If sunâ€™s elevation is \(60^o \), then a pole of height \(6\ m \) will cast a shadow of length
The angle fo elevation of the top of a building 50 m high, from a point on the ground is \(45^o \). The distance of the point from the foot of the building is :
A tree 6 m tall casts a 4 m long shadow. At the same time a pole casts a shadow 10 m long. The height of the pole is :
If the angle of elevation of top of a tower from a point at a distance of \(100\ m \) from its foot is \( 60^o\), then the height of the tower is :
The angle formed by the line of sight with the horizontal, when the point being viewed is above the horizontal level is called :
Angle of elevation.
If the ratio of height of a tower and the length of its shadow on the ground is \(\sqrt3:1 \), then the angle of elevation of the sun is :
If the height and length of the shadow of a man are the same, then the angle of elevation of the sun is :
If AB = 4 m and AC = 8 m, then angle of observation of A as observed from C is :
If the angle of depression of an object from a \(75\ m \) high tower is \(30^o \), then the distance of the object from the base of tower is
The figure, shows the observation of point C from point A. The angle of depression from A is :
From the figure, the angle of depression of point C from the point P is :