Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi
Marathi

Question

Download Solution PDF

The length of a vertical rod and its shadow are in the ratio of 2 : √12. Find the angle of elevation of the sun.

This question was previously asked in
RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
Download PDF Attempt Online
View all RRB NTPC Papers >
  1. 30° 
  2. 75°
  3. 45°
  4. 60°

Answer (Detailed Solution Below)

Option 1 : 30° 
Free Tests
View all Free tests >
Free
RRB NTPC Graduate Level Full Test - 01
2.4 Lakh Users
100 Questions 100 Marks 90 Mins
Start Now

Detailed Solution

Download Solution PDF

Given:

Length of rod : Length of shadow = 2 : √12

Formula used:

tan θ = Height of rod ÷ Length of shadow

Calculations:

⇒ tan θ = 2 ÷ √12

⇒ tan θ = 2 ÷ 2√3 = 1 ÷ √3

⇒ θ = 30°

∴ The angle of elevation of the sun is 30°.

Download Solution PDF
Latest RRB NTPC Updates

Last updated on Jul 21, 2025

-> RRB NTPC UG Exam Date 2025 released on the official website of the Railway Recruitment Board. Candidates can check the complete exam schedule in the following article. 

-> SSC Selection Post Phase 13 Admit Card 2025 has been released @ssc.gov.in

-> The RRB NTPC Admit Card CBT 1 will be released on its official website for RRB NTPC Under Graduate Exam 2025.

-> The RRB NTPC 2025 Notification released for a total of 11558 vacancies. A total of 3445 Vacancies have been announced for Undergraduate posts while a total of 8114 vacancies are announced for Graduate-level posts in the Non-Technical Popular Categories (NTPC).

-> Prepare for the exam using RRB NTPC Previous Year Papers.

-> UGC NET June 2025 Result has been released by NTA on its official site

‹‹ Previous Ques
Next Ques ››

More Heights and Distances Questions

Q1.A ladder is resting on the ground with the top end in contact with the top of a wall of a height of 12 metres. If the length of the ladder is 13 metres, at what distance from the wall is the base of the ladder on the ground?
Q2.An aeroplane at an altitude of 3000 m observes the angles of depression of opposite points on the two banks of a river to be 45 and 60 respectively. Find the width of the river in metre. 
Q3.An aeroplane at an altitude of 3000 m observes the angles of depression of opposite points on the two banks of a river to be 45 and 60 respectively. Find the width of the river in metre.
Q4.From the top of a tower, two boats on the same side of the tower are observed at angles of depression of 30° and 60°, respectively. If the distance between the boats is \(\frac{k \sqrt{3}}{3}\) m, then what is the height (in m) of the tower?
Q5.The angles of elevation of the top of a tower from two points at a distance 4 m and 16 m from the base of the tower and in the same straight line with it are complementary. Then the height of the tower is:
Q6.From the top of a lighthouse which is 90 m above the sea, the angle of depression of a ship is 60°. How far is the ship from the lighthouse? 
Q7.Find the angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole.
Q8.A man looks at the reflection of the top of the lamp-post on the mirror that is 6.6 m away from the foot of the lamppost. The man's height is 1.25 m and he is standing 2 m away from the mirror. Assuming that the mirror is placed on the ground, facing the sky and the man, and that the mirror and the lamp-post are in a same line, find the height of the lamp-post (in metres).
Q9.The angle of elevation of the top of the building from a point on the ground, which is 30 m away from the base of the building, is 30°. The height of the building is:
Q10.There is a tree between the houses of A and B. If the tree leans on A's house, then the top of the tree rests on his window which is 12 meters from the ground. If the tree leans on B's house, then the top of the tree rests on his window which is 9 meters from the ground. If the height of the tree is 15 metres, then what is the distance between A and B's house?

More Trigonometry Questions

Q1.A ladder is resting on the ground with the top end in contact with the top of a wall of a height of 12 metres. If the length of the ladder is 13 metres, at what distance from the wall is the base of the ladder on the ground?
Q2.Cos0°. Cos1°. Cos2°, Cos3° ......... Cos90° =? 
Q3.If sin 2A = 2 sin A, then A = ?
Q4.If Sin \(A=\frac{3}{5}\) then find value of Cos A? 
Q5.Sin π = ?
Q6.Cosec2θ - Cot2θ = ?
Q7.If cot θ + cosecθ = 5, θ being an acute angle, then the value of 13 cos θ is:
Q8.An aeroplane at an altitude of 3000 m observes the angles of depression of opposite points on the two banks of a river to be 45 and 60 respectively. Find the width of the river in metre. 
Q9.An aeroplane at an altitude of 3000 m observes the angles of depression of opposite points on the two banks of a river to be 45 and 60 respectively. Find the width of the river in metre.
Q10.1 + sec2 46° - cot2 44° =
Suggested Test Series
View All >
RRB NTPC Mock Test Series 2024-25 (CBT 1 + CBT 2)
2341 Total Tests with 3 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   1 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.
Q2.A cistern has an inlet pipe and an outlet pipe. Inlet pipe can fill three-fourth of the cistern in 24 minutes while outlet pipe can empty the one-third filled cistern in 16 minutes. If both the pipes are opened together, then the cistern will be completely filled in-
Q3.In a family, three sons were born for every 3 years one after the other. If the ratio of present ages of father and the eldest son is 15:7 and the average of the present ages of the 3 sons is 18 years. What will be the ratio of the ages of the father and the youngest son after 5 years?
Q4.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q5.Can A and Can B contain a mixture of soda and water in the ratio of 5 : 3 and 7 : 2 respectively If soda and water are taken out in the ratio of P : Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12 : 5 respectively, then find the value Of P:Q?
Q6.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
Q7.M and R went for shopping and bought two sarees each at different cost. Cost price of saree bought by R is Rs.250 more than the cost price of saree bought by M. Shopkeeper earned a profit of 20% on selling both the sarees together to R and M which he bought them at total Rs.6000. At what cost did M buy saree?
Q8.There are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Q9.While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?  
Q10.Simple interest received on a certain sum at a rate of simple interest of 5% for 2 years is Rs.780. If the rate of interest remains same, what will be the total amount at the time of withdrawal at the end of 5 years.  
Exams
Cut Off
Eligibility
Coaching
Previous Year Papers
Syllabus
Test Series
Important Exams
Super Coaching
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti gold download teen patti dhani rummy teen patti