Find the height of the tower, Mathematics

Assignment Help:

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

 


Related Discussions:- Find the height of the tower

How to adding rational expressions with common denominators, Adding Rationa...

Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators

Quan. literacyprofiency, 3.20 euros per kilogram, 1 kilogram =2.2 pounds an...

3.20 euros per kilogram, 1 kilogram =2.2 pounds and current exchange rate is $1=0.9 euros. what is the price per pound?

Two bulbs are selected without replacement, A bag of 28 tulip bulbs contain...

A bag of 28 tulip bulbs contains 12 red tulip bulbs,7 purple tulip bulbs  and 9 yellow tulip bulbs,. Two bulbs are selected without replacement. Determine, a)    The probability t

Solve the limit problem, Solve the Limit problem as stated  Limit x tends...

Solve the Limit problem as stated  Limit x tends to 0 [tanx/x]^1/x^2 is ? lim m tends to infinity [cos (x/m)] ^m is? I need the procedure of solving these sums..

Direction fields in newtons law, One of the simplest physical situations to...

One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv

Arc length formula - applications of integrals, Arc length Formula L = ...

Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx                                     if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy

Find out if the following series converges or diverges, Determine or find o...

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.

Steps for integration strategy - integration techniques, Steps for Integrat...

Steps for Integration Strategy 1. Simplify the integrand, if possible This step is vital in the integration process. Several integrals can be taken from impossible or ve

We know this equation a°=1.prove this?, we know that    A^m/A^m=1         ...

we know that    A^m/A^m=1                    so A^(m-m)=1                    so A^0=1.....

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd