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
An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.

SUMMATION NOTATION Under this section we require to do a brief review of summation notation or sigma notation.  We will start out with two integers, n and m, along with n a

What is Converse, Inverse, and Contrapositive In geometry, many declarations are written in conditional form "If ...., then....." For Example: "If two angles are right angles,

2cos^2x-sinx=1......Find x

what is the perimeter of a rhombus

what''s the main purpose of algebra in our daily life


Inverse Tangent : Following is the definition of the inverse tangent.  y = tan -1 x     ⇔ tan y = x                     for            -∏/2 ≤ y ≤ ?/2 Again, we have a limi


joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the