Advertisements
Advertisements
प्रश्न
If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is ______.
विकल्प
30°
45°
60°
90°
उत्तर
If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is 45°.
Explanation:
Given that,
Height of tower = Length of shadow
Let the angle of elevation be x
`\implies` tan x = `"Height of tower"/"Length of shadow"`
`\implies` tan x = 1 ...(tan 45° = 1)
`\implies` x = 45°
APPEARS IN
संबंधित प्रश्न
A bird is sitting on the top of a 80 m high tree. From a point on the ground, the angle of elevation of the bird is 45°. The bird flies away horizontally in such a way that it remained at a constant height from the ground. After 2 seconds, the angle of elevation of the bird from the same point is 30°. Find the speed of flying of the bird.
`("Take"sqrt3=1.732)`
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 of two ships as observed from the top of the light house are 60° and 45°. If the height of the light house is 200 m, find the distance between the two ships. [use √3=1.73]
From the top of a light house, the angles of depression of two ships on the opposite sides of it are observed to be α and β. If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is
`(h (tan ∝+tan ß))/ (tan ∝+tan ∝)`
The top of a 15 m high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?
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° with the horizontal, then the length of the wire is ____________.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 60 m high, find the height of the building.
Two towers A and B are standing some distance apart. From the top of tower A, the angle of depression of the foot of tower B is found to be 30°. From the top of tower B, the angle of depression of the foot of tower A is found to be 60°. If the height of tower B is ‘h’ m then the height of tower A in terms of ‘h’ is ____________ m.
The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will ____________.
If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.
From the top of a tower h m high, the angles of depression of two objects, which are in line with the foot of the tower are α and β (β > α). Find the distance between the two objects.
