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

Which of the subsequent decimals is the greatest number, Which of the subse...

Which of the subsequent decimals is the greatest number? If you add zeros to the end of every of the numbers so that each number has 5 places after the decimal point, it is sim

Supply/demand, For the pair of supply-and-demand equations, where x represe...

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Which of the subsequent numbers will yield a number larger, Which of the su...

Which of the subsequent numbers will yield a number larger than 23.4 while it is multiplied by 23.4? When multiplying through a number less than 1, you get a product in which i

Ratio-categories of situations requiring division , Ratio - situations in ...

Ratio - situations in which we need to compare two quantities in terms of their ratio. (e.g., if Munna weighs 40 Kg. and Munni weighs 50 Kg., find the ratio of their weights.)

Decision-making under conditions of certainty, Decision-Making Under Condit...

Decision-Making Under Conditions of Certainty Conditions of certainty tend to be rare, especially when significant decisions are involved. Under conditions of certainty, decis

Simultaneous equations by substitution, Simultaneous equations by substitut...

Simultaneous equations by substitution: Solve the subsequent simultaneous equations by substitution. 3x + 4y = 6      5x + 3y = -1 Solution: Solve for x: 3x = 6

Example of linear equations, Example of Linear Equations: Solve the eq...

Example of Linear Equations: Solve the equation 2x + 9 = 3(x + 4). Solution: Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation. 2x + 9 = 3(

Euilibrium, What is partial market equilibrium

What is partial market equilibrium

Give the introduction to amino acid and nucleotide metabolis, Give the Intr...

Give the Introduction to amino ACID and nucleotide metabolism ? Here, we studied about the chemistry of proteins and amino acids. We studied that the amino acids are used for p

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