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.

The angle of elevation of the top of a tower at a point on the line th

1.	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.
Answer» 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` `=> h = 80+x` From (1), `=>h = 80+h/sqrt3` `=>sqrt3h-h = 80sqrt3` `=>h = (80sqrt3)/(sqrt3-1)**(sqrt3+1)/(sqrt3+1)` `=>h = 40sqrt3(sqr3+1)m` So,the height of the tower is `40sqrt3(sqrt3+1)m`.

Discussion

No Comment Found

Related InterviewSolutions

A tower subtends an angle of `30^@` 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 tower is `60^@` . The height of the tower is:
A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from 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^@`.
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is `60^@`. Find the length of the string, assuming that there is no slack in the string.
From the bottom of a pole of height h, the angle of elevation of the top of a tower is `alpha`. The pole subtends an angle `beta` at the top of the tower. find the height of the tower.
An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is `45o`.What is the height of the chimney?
A tree standing on horizontal plane is leaning towards east. At two points situated at distances a and b exactly due west on it, angles of elevation of the top are respectively `alpha` and `beta`. Prove that height of the top from the ground is `((b-a).tanalpha.tanbeta)/(tanalpha-tanbeta)`
A person standing between two posts finds that angle subtended at his eyes by the tops of the post is right angle.If height of the post is two times and four times , the height of the person and distance between two post is equal to the length of the longer post. Find the ratio of distance of the person from shorter to longer post.
The shadow of a tower standing on a level ground is found to be 40 m longer when the Suns altitude is `30o`than when it is `60o`. Find the height of the tower.
A bridge across the river makes an angle of `30^@` with the river bank. If the length of the bridge across the river is 60m, Find the width of the river.
From a point on a cricket ground ,the angle of elevation of the top a lower is found to `30^@` at a distance of 225m from the tower. On walking 150m towards the tower, again the angle of elevation is found Find the new angle of elevation and the height of the tower

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.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment