Home/ Questions/Q 1496
Next
Answered
Amaira
  • 3
Asked: 2020-10-30T03:52:59+00:00 In:

As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

  • 3

NCERT Solutions for Class 10 Maths Chapter 9
Important NCERT Questions
SOME APPLICAT IONS OF TRIGONOMETRY
(Height and Distance)
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 9.1
Page No:204
Questions No:13

2020-2021cbsechapter 9class10mathematicsncertsome applicat ions of trigonometry
Share

    2 Answers

    1. Best Answer
      As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

      Let AB is 75 m high lighthouse and C and D are the two ships.
      In ΔABC,
      AB/BC = tan 45° ⇒ 75/BC = 1
      ⇒ BC = 75
      In ΔABD,
      AB/BD = tan 30°
      ⇒ 75/(BC + CD) = 1/√3
      ⇒ 75/(75 + CD) = 1/√3
      ⇒ 75 + CD = 75√3
      ⇒ CD = 75(√3 – 1)
      Hence, the distance between the two ships is 75(√3 – 1).

      • 1

    2. Get here all the solutions of class 10 Maths Exercise 9.1

      NCERT Solutions for class 10 Maths Exercise 9.1 all questions in Hindi Medium

      • 0
    Leave an answer

    Leave an answer

    Browse