Home/ Questions/Q 1492
Next
Answered
Amaira
  • 3
Asked: 2020-10-30T03:54:58+00:00 In:

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

  • 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:9

2020-2021cbsechapter 9class10mathematicsncertsome applicat ions of trigonometry
Share

    2 Answers

    1. 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

      • 1
    2. Best Answer
      The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

      Let CD is 50m high tower and AB is building.
      In ΔCDB,
      CD/BD = tan 60° ⇒ 50/BD = √3 ⇒ BD = 50/√3
      In ΔABD,
      AB/BD = tan 30° ⇒ AB/(50√3) = 1/√3 ⇒ AB = 50/√3 × 1/√3 = 50/ 3 = 16 (2/3)
      Hence, the height of the building is 16(2/3)m.

      • 1
    Leave an answer

    Leave an answer

    Browse