Four ships A, B, C and D are at sea in the followi

Question

Four ships A, B, C and D are at sea in the following relative positions : B is on the straight line segment AC, B is due North of D and D is due west of C. The distance between B and D is 2 km. ∠BDA = 40°, ∠ BCD = 25°. What is the distance between A and D ? [Take sin 25° = 0.423]

Aditi Chauhan · Accepted Answer

Hello Student,Please find the answer to your questionAccording to question figure is as followsHere, &ang; BDC = 90&deg;, BD = 2 km&ang;BDA = 40&deg; &rArr; &ang;ADC = 130&deg;&there4; &ang;DAC = 180&deg; - (25&deg; + 130&deg;) = 25&deg;From the figure, in ∆ ABD, using sine lawAD/sin 115&deg; = BD/sin 25&deg; &rArr;AD = 2 sin (90&deg; + 25&deg;)/sin 25&deg; = 2 cos 25&deg;/sin 25&deg;&rArr; AD = 2 cot 25&deg;= 2 √1/sin2 25&deg; - 1 = 2√1/(0.423)2 &ndash; 1 = 4.28 kmThanksAditi ChauhanaskIITians Faculty

Algebra> Four ships A, B, C and D are at sea in th...

Four ships A, B, C and D are at sea in the following relative positions : B is on the straight line segment AC, B is due North of D and D is due west of C. The distance between B and D is 2 km. ∠BDA = 40°, ∠ BCD = 25°. What is the distance between A and D ? [Take sin 25° = 0.423]

Simran Bhatia , 10 Years ago

Aditi Chauhan

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

What is a binomial expression?

Algebra

Can we divide two vectors? If this is possible then how?

Algebra

How do you write “the product of 18 and q” as an algebraic expression?

Algebra

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

Algebra

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

Algebra

Algebra> Four ships A, B, C and D are at sea in th...

Four ships A, B, C and D are at sea in the following relative positions : B is on the straight line segment AC, B is due North of D and D is due west of C. The distance between B and D is 2 km. ∠BDA = 40°, ∠ BCD = 25°. What is the distance between A and D ? [Take sin 25° = 0.423]

Simran Bhatia , 10 Years ago

Aditi Chauhan

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

Other Related Questions on Algebra

What is a binomial expression?

Algebra

Can we divide two vectors? If this is possible then how?

Algebra

How do you write “the product of 18 and q” as an algebraic expression?

Algebra

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

Algebra

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

Algebra