46 Views

Question : A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30o. At what approximate distance (in metres) is the person standing away from the building?

Option 1: 1000

Option 2: 936

Option 3: 1732

Option 4: 1542


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 1732


Solution :
Given:
AB = Height of the building = 1000 metres
Let the distance of the man from the building, BC be $x$.
From $\triangle$ ABC, we get
$\tan 30° = \frac{AB}{BC}$
⇒ $\frac{1}{\sqrt{3}}= \frac{1000}{x}$
⇒ $ x = 1000\sqrt{3}$
⇒ $x$ = 1000 × 1.732
So, the distance of the man from the building is 1732 metres.
Hence, the correct answer is 1732.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books