SATHEE: Quantitative Aptitude Ques 2242

Quantitative Aptitude Ques 2242

Question: The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is $ 30{}^\circ . $ If the angle of elevation at the same point is to be $ 45{}^\circ , $ then the pillar has to be raised to a height of how many metres?

Options:

A) 59.4 m

B) 61.4 m

C) 62.4 m

D) 63.4 m

Show Answer

Answer:

Correct Answer: D

Solution:

Given, $ BC=150m $ $ \angle ACB=30{}^\circ $ and $ \angle DCB=45{}^\circ $ Then, $ AD=? $ In $ \Delta ABC, $ $ \tan 30{}^\circ =\frac{AB}{BC} $
$ \Rightarrow $ $ \frac{1}{\sqrt{3}}=\frac{AB}{150} $

$ \therefore $ $ AB=86.6m $ In $ \Delta DBC, $ $ \tan 45{}^\circ =\frac{DB}{BC} $

$ \Rightarrow $ $ 1=\frac{AD+AB}{BC} $

$ \Rightarrow $ $ BC=AD+86.5 $ $ 150-86.6=AD $

$ \Rightarrow $ $ AD=63.4m $

Quantitative Aptitude Ques 2241

Quantitative Aptitude Ques 2243

Bank Preparation

IBPS Office Assistants

IBPS RRB Officers

Bank Courses

Recorded Course for English

Recorded Course for Reasoning

Recorded Course for Mathematics

NCERT Books

Important Resources

Banking Awareness

Financial Awareness

Forum

BETA

© 2025 Copyright SATHEE

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.