1 View

Question : If the angle of elevation of the top of a pillar from the ground level is raised from 30° to 60°, the length of the shadow of a pillar of height $50\sqrt{3}$ metres will be decreased by:

Option 1: 60 metres

Option 2: 75 metres

Option 3: 100 metres

Option 4: 50 metres


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 100 metres


Solution :
Height of the pillar, $AB$ = $50\sqrt{3}$ metres
For the length of the shadow at an angle of elevation of 30°,
$\frac{50\sqrt{3}}{BC} = \tan 30°$
⇒ $\frac{50\sqrt{3}}{BC} = \frac{1}{\sqrt{3}}$
⇒ $BC = 150$ metres
For the length of the shadow at an angle of elevation of 60°,
$\frac{AB}{BD} = \tan 60°$
⇒ $\frac{50\sqrt{3}}{BD} = \sqrt{3}$
⇒ $BD = 50$ metres
Final decrement in the length of shadow = $BC-BD$
= 150 – 50
= 100 metres
Hence, the correct answer is 100 metres.

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