Home
Class 10
MATHS
The angle of elevation of the top of a t...

The angle of elevation of the top of a tower at a point on the line through the foot of the tower is `45^@`. After walking a distance towards the foot of the tower along the same horizontal line elevation of the top of the tower changes to `60^@`. Find the height of tower.

Text Solution

Verified by Experts

With the given details, we can create a diagram.
Please refer to video to see the diagram.
From the digram,
In `Delta OBC`,
`h/x = tan60^@ = sqrt3`
`=>x = h/sqrt3->(1)`
In `Delta OAC`,
`h/(80+x) = tan45^@ = 1`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower at a point on the ground, 50 m away from the foot of the tower, is 60°. Find the height of the tower.

The angle of elevation of the top of a tower at a point on the level ground is 30°. After walking a distance of I 00 m towards the foot of the tower along the horizontal line through the foot of the tower on the same level ground, the angle of elevation of the top of the tower is 60°. Find the height of the tower.

The angle of elevation of the top of a tower at a point on a level ground is 30°.After walking a distance of 100mtowards the foot of the tower along the horizontal line through the foot of the tower on the same level ground, the angle of elevation of the top of the tower is 60°.Find the height of the tower.

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is alpha. After walking a distance d towards the foot of the tower the angle of elevation is found to be beta. The height of the tower is____

the angle of elevation of the top of a tower at a point on the ground 50m away from the foot of the tower is 45^(@) . Then the height of the tower ( in meters ) is ………. .

The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.