Find the height of the tower, Mathematics

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 . Find the height of the tower. (Ans: d/cot α - cot β)

459_horizontal plane.png

Ans: Let BC = x

tan β =  AB/CB

tan β = h/x

x = h/tan β

x = h cot β     ---------(1)

tan α = AB/DC CB

tan α = h /d + x

d + x = h/tan α  = hcotα

x = h cot  α - d ----------(2)

from 1 and 2

h cot β =  h cot  α - d

h (cot α - cot β ) = d

h = d /cot α - cot β

 

Posted Date: 4/10/2013 2:10:51 AM | Location : United States







Related Discussions:- Find the height of the tower, Assignment Help, Ask Question on Find the height of the tower, Get Answer, Expert's Help, Find the height of the tower Discussions

Write discussion on Find the height of the tower
Your posts are moderated
Related Questions
the sum of the vector QR, -SR, TQ and 2ST is?

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions.  We wish to find out the length of a vector function, r → (t) =

Are there more rational numbers than integers?#

in a triangle angle a is 70 and angle b is 50 what is angle c.

Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0


larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

Implicit Differentiation : To this instance we've done quite a few derivatives, however they have all been derivatives of function of the form y = f ( x ) .  Unluckily not all