CameraIcon

SearchIcon

MyQuestionIcon

Calculating Heights and Distances

13. A person ...

Question

13. A person standing at the foot of at a tower walks a distance 3a away from the tower and observes that the angle of elevation of the top of the tower is alpha. He then walks a distance 4a perpendicular to the previous direction and observes the angle to be beta, then find the height of the tower in terms of beta.

Open in App

Solution

Suggest Corrections

thumbs-up

3

mid-banner-image

mid-banner-image

Similar questions

Q. A man standing on a horizontal plane, observes the angle of elevation of the top of a tower to be

α

. After walking a distance equal to double the height of the tower towards the tower, the angle of the elevation becomes

2 α

α

Q. The angle of elevation of the top of a tower standing on a horizontal plane form point

A

α^{o}

. After walking a distance

d

towards the foot of tower, angle is

β^{o}

, find height of tower

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

(a)

\frac{d}{c o t α + c o t β}

\frac{d}{c o t α - c o t β}

\frac{d}{\tan β - \tan α}

\frac{d}{\tan β + \tan α}

Q. A person walking on a straight road towards a tower observes that the angle of elevation of the top of a flag staff on the tower is

α

; after going a distance a towards the tower he finds that the flag staff subtends the greatest angle

β

. Prove that the length of the flag staff is

\frac{2 a sin α sin β}{cos α - cos (α - β)}

Q. A flag staff is on the top of tower which stands on a horizontal plane. A person observes the angles,

α

β

, subtended at a point on the horizontal plane by the flag staff and the tower; he then walks a known distance a towards the tower and finds that the flag staff subtends the same angle as before; prove that the height of the tower and the length of the flag staff are respectively

\frac{a s i n β c o s (α + β)}{c o s (α + 2 β)}

\frac{a s i n α}{c o s (α + 2 β)}

Join BYJU'S Learning Program

Select...

similar_icon

Related Videos

lock

Questions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Calculating Heights and Distances

Standard X Mathematics

Join BYJU'S Learning Program

Select...