Determine how much more time it will take to reach the base, Mathematics

Assignment Help:

A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving  towards the base of the tower. Ten minutes later, the angle of depression of the truck is found to be β where tan β=√5, if the truck is moving at a uniform speed, determine how much more time it will take to reach the base of the tower...

10 minutes=600sec

1484_tower observes a truck.png

Ans:    Let the speed of the truck be x m/sec  CD=BC-BD

In  right triangle ABC

tanα = h/BC  tanα = 1/√5

BC=h√5............. 1

In right triangle ABD

tanβ= h/BD

h=√5BD                                     ( tan β=√5 )

CD=BC-BD ( CD=600x )

600x =5BD-BD BD=150x

Time taken = 150x /x

=150 seconds

Time taken by the truck to reach the tower is 150 sec.

 


Related Discussions:- Determine how much more time it will take to reach the base

How many ounces of soup does she required, Sharon needs to make 25 half-cup...

Sharon needs to make 25 half-cup servings of soup. How many ounces of soup does she required? One cup is 8 ounces, so half a cup is 4 ounces. Multiply 25 by 4 ounces to find ou

Venm diagrams, In a class, all pupils take Mathematics (M), 18 take Chemist...

In a class, all pupils take Mathematics (M), 18 take Chemistry (C), 17 take Biology (B) and 24 take Physics (P) of those taking 3 subjects only, 5 take Physics and Chemistry, 7 ta

Business mathematics, explain how business mathematics in an inbu;it compo...

explain how business mathematics in an inbu;it component of a payroll package

Assignment, hi,i want know about Assignment work..

hi,i want know about Assignment work..

Vectors, |a.x|=1 where x = i-2j+2k then calculate a

|a.x|=1 where x = i-2j+2k then calculate a

Area between curves, Area between Curves In this section we will be fi...

Area between Curves In this section we will be finding the area between two curves. There are in fact two cases that we are going to be looking at. In the first case we des

Prove that prims algorithm produces a minimum spanning tree, Prove that Pri...

Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm

Reason for why limits not existing, Reason for why limits not existing : I...

Reason for why limits not existing : In the previous section we saw two limits that did not.  We saw that did not exist since the function did not settle down to a sing

Probability that a leap year will have 53 sunday?explain, A leap year has 3...

A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)

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