Two ships leave a port at the same time


Asked by admin @ in Math viewed by 94 People


Two ships leave a port at the same time. One goes 24km/h in the direction North 45 degree east and other travels 32km/h in the direction South 75 degree east. find the distance between the ships at the end of 3 hrs.

Answered by admin @


Hey there !

Look at this

( Firstly see the abvove figure that is in attachment );

Solution :-
========

⇒1st Ship goes 24Kmph for 3 hours ,

OA = \frac{24Km}{hr}* 3hr

= 72 km

So, The 1st ship travels 72 km


⇒2nd Ship goes 32Kmph for 3 hours,

OB = \frac{32Km}{hr}* 3hr

= 96 Km

So, The 2nd Ship travels 96Km

∴∠AOB = 45° + (90°+ 75°)
= 60°

So, AB² = OA² + OB² - 2 × OA × OB × Cos60°

= 72² + 96² - 2 × 72 × 96 × 1/2

AB = \sqrt{ 72^{2}+ 96^{2}-72* 96 }

= 86.53 Km (Ans).

Do you know the better answer?

Similar Questions

Two trains leave a station at the same time

Asked by admin @ in Math viewed by 78 persons

Two trains leave a railway station at the same time. the first train travels due west and the second train due north . the first train travels 5 km/hr faster …

Conversation between two friends after a long time

Asked by admin @ in English viewed by 109 persons

Write a conversation between two friends who meet after a long time in the fair

Two dice are thrown at the same time

Asked by admin @ in Math viewed by 112 persons

Two dice are thrown at the same time. Find the probability of getting (a) same no. on the both side (b) different no. on both dices.​

Funny conversation between two friends after a long time

Asked by admin @ in English viewed by 116 persons

Write a conversation between two friends who meet after a long time in the fair

When 5 times the larger of the two numbers

Asked by admin @ in Math viewed by 139 persons

when 5 times the larger of the number is divided by the smaller, the quotient and remainder are 2 and 9 respectively. form a linear equations in two variables. write …

A number consisting of two digits is seven times

Asked by admin @ in Math viewed by 98 persons

A number consisting of a two digit number is 7 times the sum of its digit. when 27 is subtracted from the number the digits are reversed .find the number

Helium atom is two times heavier than hydrogen molecule

Asked by admin @ in Chemistry viewed by 106 persons

Helium atom is two times heavier than a hydrogen molecule. At 298 K, the average kinetic energy of a helium atom is(a) two times that of a hydrogen molecule.(b) same …

Lcm of two numbers is 14 times their hcf

Asked by admin @ in Math viewed by 130 persons

The lcm of two numbers is 14 times their hcf. the sum of lcm and hcf is 600. if one number is 280,then find other number

A two digit number is 4 times the sum

Asked by admin @ in Math viewed by 125 persons

A two digit number is 4 times the sum of its digits and twice the product of its digits.Find the number.

Lcm of two numbers is 45 times their hcf

Asked by admin @ in Math viewed by 138 persons

LCM of two numbers is 45 times their HCF if one of the numbers is 125 and sum of their HCF and LCM is 1150 find the other number

Two ships are approaching a lighthouse from opposite directions

Asked by admin @ in Math viewed by 92 persons

Two ships are approaching a light-house from opposite directions. The angles of depression of the two ships from the top of the light-house are 30o and 45o. If the distance …

The velocity time graph for two bodies a and b

Asked by admin @ in Physics viewed by 82 persons

The velocity-time graph for motion of two bodies A and B is as shown. Read the graph carefully and answer the following questions: Which of the two bodies has a …

In 4 4 time two eighth notes are equal to

Asked by maham237 @ in Social Studies viewed by 84 persons

A.One half of one beat. B.One beat. C.One sixteenth of one beat. D.Two beats.

What two elements of education have evolved since colonial times

Asked by maham237 @ in English viewed by 79 persons

Two different ways to write time

Asked by maham237 @ in Mathematics viewed by 126 persons

Write the time 8:30 then write this time in two other ways using words

Most viewed questions in Math


Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 10905 persons


Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 9667 persons


The town of p is located at point x

Asked by admin @ in Math viewed by 9493 persons


A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 8350 persons


Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 7673 persons



Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 6975 persons


Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 6836 persons


What is the value of x in the expression

Asked by admin @ in Math viewed by 6582 persons


The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 5741 persons


In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 5264 persons



The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 4751 persons


Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 3883 persons


Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 3527 persons


What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 3463 persons


Five friends are sitting in a row facing north

Asked by admin @ in Math viewed by 3347 persons