Home
Class 11
MATHS
Suppose that a boat travels 10 km from t...

Suppose that a boat travels 10 km from the port towards east and then turns `60^(@)` to its left. If the boat travels further 8 km, how far from the port is the boat?

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt61km`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Additional Questions Solved|59 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

For a radio signal to travel 150 km from the transmitter to a receiving antenna, it takes

A bus travels 6 km towards north at an angle of 45^(@) to the east and then travels 4 km towards north at an angle of 135^(@) to the east . How for is its final position , due east and due north ? How far is the point from the starting point ? What angle does the straight line joining its initial and final position makes with the east ?

A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning ten seconds later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike?

Suppose that there are two cell phone towers within range of a cell phone. The two towers are located at 6km apart along a straight highway. Running east to west and the cell phone is north of the highway. The signal is 5km from the first tower and sqrt31 km from the second tower. Determine the position of the cell phone north and east of the first tower and how far it is from the highway.

A man is watching a boat speeding away from the top of a tower. The boat makes an angle of depression of 60^(@) with the man's eye when at a distance of 200 m from the tower . After 10 seconds, the angle of depression becomes 45^(@) . What is the approximate speed of the boat ( in km/hr) , assuming that it is sailing in still water ? (sqrt(3) = 1.732)

Pratik takes 8 hours to travel 36 km downstream and return to same spot. The speed of boat in still water is 12km/hr. Find the speed of the water current.

A man goes 3 km towards north and then 4 km towards east. How far is he away from the initial poisition ?

FULL MARKS-TRIGONOMETRY-Exercise 3.12
  1. Suppose that a boat travels 10 km from the port towards east and then ...

    Text Solution

    |

  2. (1)/(cos 80^(@)) - (sqrt(3))/(sin 80^(@)) =

    Text Solution

    |

  3. If cos 28^(@) + sin 28^(@) = k^(3), then cos 17^(@) is equal to

    Text Solution

    |

  4. The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos""...

    Text Solution

    |

  5. (1 + cos"" (pi)/(8))(1 + cos"" (3pi)/(8)) (1 + cos"" (5pi)/(8))(1 + co...

    Text Solution

    |

  6. If pi lt 2 theta lt (3pi)/(2), then sqrt(2 + sqrt( 2 + 2 cos 4 theta))...

    Text Solution

    |

  7. If tan 40^(@) = lambda, then (tan 140^(@) - tan 130^(@))/(1 + tan 140^...

    Text Solution

    |

  8. cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

    Text Solution

    |

  9. Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge1. ...

    Text Solution

    |

  10. Which of the following is not true?

    Text Solution

    |

  11. cos 2theta cos 2phi + sin^(2) (theta - phi ) - sin^(2) ( theta + phi) ...

    Text Solution

    |

  12. (sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A...

    Text Solution

    |

  13. If cos ptheta + cos qtheta = 0 and if p ne q, then theta is equal to (...

    Text Solution

    |

  14. If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (s...

    Text Solution

    |

  15. In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2, then the triang...

    Text Solution

    |

  16. If f(theta) = |sin theta| + |cos theta|,theta in RR, then f(theta) is ...

    Text Solution

    |

  17. (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x + 10 cos x ) i...

    Text Solution

    |

  18. The triangle of maximum area with constant perimeter 12m

    Text Solution

    |

  19. A wheel is spinning at 2 radians/second. How many seconds will it take...

    Text Solution

    |

  20. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  21. In a DeltaABC, if (i)sin (A)/(2) sin"" (B)/(2) sin"" (C )/(2) gt 0 (...

    Text Solution

    |