Advertisements
Advertisements
प्रश्न
An observer, 1.5 m tall, is 28.5 m away from a 30 m high tower. Determine the angle of elevation of the top of the tower from the eye of the observer.
उत्तर
`"Let AB = 1.5 m be the observer and CD = 30 m be the tower."`
`"Let the angle of elevation of the top of the tower be α"`
`CD= CE+ED`
`⇒ CD=CE+AB`
`⇒30=CE+1.5`
`⇒CE=30-1.5=28.5 m`
In ΔCEB,
`tan ∝ = (CE)/(BE)=28.5/28.5`
`⇒ tan ∝ =1`
`⇒ tan ∝= tan 45° `
`⇒∝=45°`
APPEARS IN
संबंधित प्रश्न
The angle of elevation of the top of a tower from a point A due south of the tower is α and from B due east of the tower is β. If AB = d, show that the height of the tower is
`\frac{d}{\sqrt{\cot ^{2}\alpha +\cot^{2}\beta `
An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60º and 45º respectively. Find the vertical distance between the aeroplanes at that instant
The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If height of the tower is 50 m, find the height of the hill.
The angle of elevation of the top of a tower as observed form a point in a horizontal plane through the foot of the tower is 32°. When the observer moves towards the tower a distance of 100 m, he finds the angle of elevation of the top to be 63°. Find the height of the tower and the distance of the first position from the tower. [Take tan 32° = 0.6248 and tan 63° = 1.9626]
The length of shadow of a tower on the plane ground is `sqrt3` times the height of the tower.
The angle of elevation of sun is:
If the angles of elevation of a tower from two points distant a and b (a>b) from its foot and in the same straight line from it are 30° and 60°, then the height of the tower is
From the top of a tree of height 13 m the angle of elevation and depression of the top and bottom of another tree are 45° and 30° respectively. Find the height of the second tree. `(sqrt(3) = 1.732)`
If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top ____________.
The angles of elevation of the bottom and the top of a flag fixed at the top of a 25 m high building are 30° and 60° respectively from a point on the ground. Find the height of the flag.
A person is standing at a distance of 50 m from a temple looking at its top. The angle of elevation is 45°. Find the height of the temple.
