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Two ships are there in the sea on either side of a light house in such a way that the ships and the lighthouse are in the same straight line. The angles of depression of two ships as observed from the top of the lighthouse are 60° and 45°If the height of the lighthouse is 200m, what is the distance between the two ships?

Posted by ?‍? ??‍⚕? 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let PM be the light house of height 200 m and let A and B be two ships on the either sides of lighthouse such that the angles of depression of A and B are {tex}60^o{/tex} and {tex}45^o{/tex} respectively.

Let, AM = x m and BM=y m

Then, {tex}\angle XPB=\angle MBP=45^o{/tex} [alternate angle]

and {tex}\angle YPA=\angle MAP=60^o{/tex} [alternate angles]

In right-angled {tex}\triangle AMP,{/tex} {tex}\tan{60^o}=\frac{P}{B}=\frac{PM}{AM}{/tex}

{tex}\Rightarrow \sqrt3=\frac{200}{x}{/tex}

{tex}\Rightarrow x=\frac{200}{\sqrt3}\;m{/tex}

In right-angled {tex}\triangle BMP, {/tex} {tex}\tan{45^o}=\frac{PM}{BM}{/tex}

{tex}\Rightarrow 1=\frac{200}{y}{/tex}

{tex}\Rightarrow y=200 \;m{/tex}

Now, distance between the two ships = AB = {tex}x+y=200+\frac{200}{\sqrt3}=315.48\;m{/tex}

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Is anyone having sites for latest cbse sample papers 2019

Posted by Gaurav Chilkoti 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Chilkoti 6 years, 9 months ago

I know

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Mansi ??⚘?? 6 years, 11 months ago

Search on cbsesqp 2018-19 (CBSE Sample Question Paper)

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When is board exam of 10 th

Posted by Ketan Surde 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Abc . 6 years, 11 months ago

CBSE is not announced yet.

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Riyam Arora 6 years, 11 months ago

6 march

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Bhoomi Gupta 6 years, 11 months ago

From 5march to 4 april

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If alpha and beta are the zeros of the quadratic polynomialF(t)=t²-P(t+1)-c show that(alpha + 1)(beta+ 1)=-c

Posted by Pratibha Sahu 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Since, α and β are the zeroes of the quadratic polynomial
f(x) = x² - p (x+1) - c=x²-px-(p+c)
So A=1 B=-p,C=-(p+c)
Sum of the zeroes α + β = {tex}-\frac BA{/tex}=P
Product of the zeroes αβ ={tex}\frac CA{/tex}=- (p + c)
(α + 1)(β + 1)
= αβ + α + β + 1
= αβ + (α + β) + 1
=-(p+c)+p+1
=-p-c-p+1
=1-c
Hence proved

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Posted by Soham Deshpande 6 years, 11 months ago

CBSE > Class 10 > Mathematics

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Posted by Puja Sahoo 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Puja Sahoo 6 years, 11 months ago

To tum meri party ke ho....

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Abc . 6 years, 11 months ago

Me ?

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Santosh Parida 6 years, 11 months ago

Ham. Chahte hain par sab jaate hain isliye hame bhi jana pad raha hai

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Mean mode median formula

Posted by Tabrez Shaiwale 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Puja Sahoo 6 years, 11 months ago

It is called as emperical formula.....

1Thank You

Soham Deshpande 6 years, 11 months ago

3MEDIAN=MODE+2MEAN

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all examples of chapter5

Posted by Sakshi Kurchaniya 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

S Sihag Ji 6 years, 11 months ago

See in NCERT Book

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Pure form of quadratic equation

Posted by Sumant Adky 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Riyam Arora 6 years, 11 months ago

ax2+bx+c=0

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Pratibha Sahu 6 years, 11 months ago

ax²+bx+c=0

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ax^2+c=0

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CBSE > Class 10 > Mathematics

0 answers

ANSWER

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Posted by Aditya Gupta 5 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Abhinav Yadav 6 years, 11 months ago

135 cm2

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Aditya Gupta 6 years, 11 months ago

Area of the given Triangle =1/2×base×height =( 1/2×25×10.8 )cm2 =135cm2. Answer

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If the area of an equilateral triangle is 36√3 cm2,find its perimeter

Posted by Aditya Gupta 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Jatin Gera 6 years, 11 months ago

Area of equilateral triangal = root3/4 a² Root3/4a² = 36root3 Root 3 and root3 will cancel. a²=36x4 a²=144 a=12 Perimeter of equilateral triangle = 3a P=3x12 = 36.

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Abhinav Yadav 6 years, 11 months ago

36 cm

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Posted by Kalash Maan 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Kalash Maan 6 years, 11 months ago

Thanks Abhishek

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Abhishek Kandari 6 years, 11 months ago

π(R+r)l

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If nth term of an A.P. is 2n+1, then find the sum of first 3 terms of A.P.

Posted by Karamveer Singh 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Samridhi Yadav 6 years, 11 months ago

1Thank You

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15.

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tan30+tan60-cos90=

Posted by Ankit Bisht 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Akshita Wadhwa 6 years, 11 months ago

4/√3

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Shaurya Gupta 6 years, 11 months ago

4√3/3

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Kalash Maan 6 years, 11 months ago

2/√3

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Chētnà Pandey✌️ 6 years, 11 months ago

3/√3

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Solve the following quadratic equation for x : x² - b² = a(2x-a).

Posted by Abhishek Kandari 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Samridhi Yadav 6 years, 11 months ago

X = a+b Aur X= a-b

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Shaurya Gupta 6 years, 11 months ago

x=a-b and x = a+b

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Find the value of k, for which one root of the quadratic equation kx²-14x+8 is 2.

Posted by Karamveer Singh 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Shaurya Gupta 6 years, 11 months ago

K=5

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Abhishek Kandari 6 years, 11 months ago

K(2)² - 14(2)+8=0 4k-28+8=0 4k-20=0 4k=20 K=5

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Puja Sahoo 6 years, 11 months ago

K=24.......

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Posted by Ashwani Kumar 6 years, 11 months ago

CBSE > Class 10 > Mathematics

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The sum of two digit number and the number obtained by reversing the order of its digit is 165 is the digit differ by 3 find the number?

Posted by Pulkit Singh 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Riya Tulsani 6 years, 11 months ago

Let unit digit no. Be X Let tens digiti no. Be Y Since the digits differ by 3 Therefore , x-y=3 .......(1) And let the original number is 10y + x Now, Number obtained by reversing this , 10x+y According to ques , 10y + x + 10x + y =165 11x + 11y = 165 x+y= 15........(2) Then , by eliminating (1) & (2) x=6 & y=3 So the number is 36 or 63

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what is fundamental theorum of arithmetic

Posted by Sanjana Shashi 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Jatin Gera 6 years, 11 months ago

THE FUNDAMENTAL THEOREM OF ARITHMETICS STATES THAT EACH AND EVERY COMPOSITE NUMBER CAN BE WRITTEN AS THE PRODUCT OF PRIME NUMBERS IN ONE AND ONLY ONE WAY EXCEPT THE ORDER OF NUMBERS.

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Is baar kon kon top karenge???‍??‍?

Posted by Puja Sahoo 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Pappu?? Shikari?? 6 years, 11 months ago

Gall ni kadni

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Confidence is good but overconfidence is not good , anyways wishing all of you best of luck for your exams...do your best????

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Rosie Ruby 6 years, 11 months ago

In sha allah

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I think it's me ?? ?

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Inshallah we all try our best..

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Prove the value of sin 45 geometrically

Posted by Yush Gupta 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Karuna Kashyap 6 years, 11 months ago

See in ncert book page no.182

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Find the distance between two points from origin

Posted by Pratibha Sahu 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Neha Jangir 6 years, 11 months ago

under root.x^2 +y^2

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Plz tell me the ans. of this que. A milk container is in the form of a frustum of cone of height 30cm and radii of circular ends are 20 and 40cm is to be distributed in a camp for flood victims. If 380 ltrs. Of milk is needed daily for a camp at the rate of 35per ltr. then find how many such container of milk is needed for camp and also its cost. what value is indicated by donar agency?

Posted by Neha Jangir 6 years, 11 months ago

CBSE > Class 10 > Mathematics

7 answers

Jatin Gera 6 years, 11 months ago

The question is technically incorrect. YOU must check the question.

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Neha Jangir 6 years, 11 months ago

Kese????

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Pratibha Sahu 6 years, 11 months ago

Solve kar do an please

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Pratibha Sahu 6 years, 11 months ago

Solve nahi ho raja hai

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Pratibha Sahu 6 years, 11 months ago

Nahi 30.96 answerhai

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Pappu?? Shikari?? 6 years, 11 months ago

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Sanjana Gupta 6 years, 11 months ago

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Find the area of shaded region in this figure a square in which four quadrant then remaining space except quadrant are shaded Where arc drawn with centres A B C D intersect in pairs at mid point P,Q,R,and Sof side AB ,BC ,CD, AD respectively of a square ABCD of side 12cm[π=3.14 Please solve this question quickly please make figure from this statement because I don't able to make figure

Posted by Pratibha Sahu 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

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prove 90 degree in trignometric ratios

Posted by Divy Panchal 6 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

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Derive quadratic formula

Posted by Priyanshu Digari 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Abhinav Yadav 6 years, 11 months ago

Start with ax^2 + bx + c=0 Divide the equation by a x^2 + bx/a + c/a = 0 Put c/a on other side x^2 + bx/a = -c/a Add (b/2a)2 to both sides x^2 + bx/a + (b/2a)^2 = -c/a + (b/2a)^2 The left hand side is now in the x2 + 2dx + d2 format, where "d" is "b/2a" So we can re-write it this way: "Complete the Square" (x+b/2a)^2 = -c/a + (b/2a)^2 Now x only appears once and we are making progress. Now Solve For "x" Now we just need to rearrange the equation to leave "x" on the left Start with (x+b/2a)^2 = -c/a + (b/2a)^2 Square root (x+b/2a) = (+-) sqrt(-c/a+(b/2a)^2) Move b/2a to right x = -b/2a (+-) sqrt(-c/a+(b/2a)^2) That is actually solved! But let's simplify it a bit: Multiply right by 2a/2a x = [ -b (+-) sqrt(-(2a)^2 c/a + (2a)^2(b/2a)^2) ] / 2a Simplify: x = [ -b (+-) sqrt(-4ac + b^2) ] / 2a

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Cross multiple exercise 3.6

Posted by Arsh Dhillon 6 years, 11 months ago

CBSE > Class 10 > Mathematics