English
Hindi
Telugu
Bengali
Marathi
Tamil

Question

Download Solution PDF

Angle of elevation of the top of the tower from 3 points (collinear) A, B and C on a road leading to the foot of the tower are 30° , 45° and 60° respectively. The ratio of AB and BC is

This question was previously asked in
NIMCET 2020 Official Paper
Download PDF Attempt in App
View all NIMCET Papers >
  3. 1 : 2

Answer (Detailed Solution Below)

Option 1 :
Free Tests
View all Free tests >
Free
NIMCET 2020 Official Paper
120 Qs. 480 Marks 120 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

If the angle of elevation from a point at distance D from tower of length L is θ 

tan θ = 

Calculation:

Let the length of the tower OP be x

From the figure,

OA = 

OB = 

OC = 

∴ AB = OA - OB = 

BC = OB - OC = 

⇒ 

⇒ 

⇒ 

Download Solution PDF
Latest NIMCET Updates

Last updated on Jun 12, 2025

->The NIMCET 2025 provisional answer key is out now. Candidates can log in to the official website to check their responses and submit objections, if any till June 13, 2025.

-> NIMCET exam was conducted on June 8, 2025.

-> NIMCET 2025 admit card was out on June 3, 2025.

-> NIMCET 2025 results will be declared on June 27, 2025. Candidates are advised to keep their login details ready to check their scrores as soon as the result is out.

-> Check NIMCET 2025 previous year papers to know the exam pattern and improve your preparation.

Exams Tests Super Practice

More Heights and Distances Questions

Q1.Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is:
Q2.The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 20 seconds at the speed of 432 km/hour, the angle of elevation changes to 30°. If the jet plane is flying at a constant height, then its height is:
Q3.A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that QR = 15 m. If from a point A on the ground the angle of elevation of R is 60° and the part PR of the tower subtends an angle of 15° at A, then the height of the tower is :
Q4.When the height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun?
Q5.Due to the sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole? 
Q6.If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building:  
Q7.There is a 10 meter tower between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°. How far are the roads from each other?
Q8.A kite is flying at a height of 30 m from the ground. The length of the string from the kite to the ground is 60 m. Assuming that there is no slack in the string, the angle of elevation of the kite at the ground is
Q9.A vertical pole of 28 m height casts a 19.2 m long shadow. At the same time, find the length of the shadow cast by another pole of 52.5 m height.
Q10.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 30°. At what approximate distance (in metres) is the person standing away from the building. 

More Trigonometry Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.If p tan (θ - 30°) = q tan (θ + 120°), then what is (p + q) / (p - q) equal to?
Q3.If \(\rm \frac{x}{\cos \theta}=\frac{y}{\cos \left(\frac{2\pi}{3}-\theta\right)}=\frac{z}{\cos\left(\frac{2\pi}{3}+\theta\right)}\) then what is x + y + z equal to? 
Q4.Consider the following numbers :  I. tan 22.5°  II. cot 22.5°  III. tan 22.5° - cot 22.5°  How many of the above are irrational numbers?
Q5.What is \(\rm \frac{\cos 17^\circ-\sin 17^\circ}{\cos 17^\circ+\sin ^\circ}\) equal to
Q6.What is sin12° sin48° equal to? 
Q7.In a triangle ABC tan A + tan B + tan C = k  What is the value of cot A cot B cot C? 
Q8.What is the general solution of cos100 x - sin100 x = 1?
Q9.What is the number of solutions of the equation cot2x cot3x = 1 for 0 < x
Q10.In a triangle ABC, ∠A = 75° and ∠B = 45°. What is 2a - b equal to?
Suggested Test Series
View All >
NIMCET Previous Year Papers Mock Test
8 Total Tests with 1 Free Tests
Start Free Test

NDA Important Links

ResultAdmit CardApplication FormEligibilitySalarySyllabus

More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
Q6.Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
Q7.Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Q8.A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
Q9.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q10.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
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
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti master list teen patti boss teen patti apk mpl teen patti teen patti sequence