Home/ Questions/Q 1495
Next
Answered
Amaira
  • 6
Asked: 2020-10-30T03:53:16+00:00 In:

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower.

  • 6

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:12

2020-2021cbsechapter 9class10mathematicsncertsome applicat ions of trigonometry
Share

    2 Answers

    1. Best Answer
      From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower.

      Let AB is building and CD is cable tower.
      In ΔABD,
      AB/BD = tan 45° ⇒ 7/BD = 1 ⇒ BD = 7
      In ΔACE, AC = BD = 7 m
      CE/AE = tan 60° ⇒ CE/7 = √3 ⇒ CE = 7√3
      Therefore, CD = CE + ED = 7√3 + 7 = 7(√3 + 1)
      Hence, the height of the cable tower is 7(√3 + 1) m.

      • 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

      • 4
    Leave an answer

    Leave an answer

    Browse