Find the height of the lighthouse, Mathematics

Assignment Help:

Two  ships  are  sailing  in  the  sea  on  either  side  of  a  lighthouse;  the  angles  of depression of two ships as observed from the top of the lighthouse are 600  and 450 respectively. If the distance between the ships is 200(1+√3/√3)meters, find the height of the lighthouse. (Ans:200m)

1634_tea ships sails.png

Ans:    In right Δ ABC

Tan 60 = h/BC

√3 = h/BC

⇒ H = √3 BC

In right Δ ABD

Tan 45 =  h/BD

h = BD

BC + BD = 200 (1+√3/√3)

68_BC.png

h = √3 BC

= √3 (200/√3)

= 200m

∴ height of light house = 200m


Related Discussions:- Find the height of the lighthouse

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Word problem, tom has 150 feet of fencing to enclose a rectangular garden. ...

tom has 150 feet of fencing to enclose a rectangular garden. if the length is to be 5 feet less than three the width, find the area of the garden

Solving problem with linear function, An electric utility company determine...

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month

Find area of y = 2 x2 + 10 and y = 4 x + 16, Find out the area of the regio...

Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t

Business applications, Business Applications In this section let's tak...

Business Applications In this section let's take a look at some applications of derivatives in the business world.  For the most of the part these are actually applications wh

Non-homogeneous differential equations, The Definition- The definition of ...

The Definition- The definition of the Laplace transforms. We will also calculate a couple Laplace transforms by using the definition. Laplace Transforms- As the earlier secti

Find the sum of all natural no. between 101 and 304, Find the sum of all na...

Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5. Find their sum. Ans:    No let 101 and 304, which are divisible by 3. 102, 105..........

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