# Important Notes & Short Tricks on Height & Distance Part -3

Updated : February 5th, 2021
Share via   |

In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam. In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam.

In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam.

(1)Two poles of equal height are standing opposite to each other on either side of a road, which is 28m wide. From a point between them on the road, the angles of elevation of the tops are 300 and 600. The height of each pole is:

(a)

(b)

(c)

(d)

Ans.   (d)

Let AB and CD be the pole and AC be the road.

Let AE = x, then EC = 28-x and AB = CD = h. Then   let AB = CD=√3

then, EC =1 and AE = 3

AC (ratio value) = 3 + 1 = 4

4 = 28 then 1 =7

and √3=7√3 so height of tower is 7√3.

(2)There are two vertical posts, one on each side of a road, just opposite to each other. One post is 108 metre high. From the top of this post, the angles of depression of the top and foot of the other post are 300 and 600 respectively. The height of the other post is :

(a)36

(b)72

(c)76

(d)80

Ans (b)

The height of greater Lower i.e.  AB = 108 = H

so height of tower is 72

(3)An aeroplane when flying at height of 5000 m from the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 600 and 450 respectively. The vertical distance between the aeroplanes at that instant is:

(a)

(b)

(c)

(d)4500 m

Ans (c)

In this question we have two triangle ABC and triangle DBC. In triangle ABC we apply the ratio according to 60° and in triangle DBC we apply ratio according to the 45°. That why we take AB=√3 and DB =1.

(4)A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 300 and after 2 minutes, he observes the same bird in the south at an angle of elevation of 600. If the bird flies all along in a straight line at a height of then its speed in km/h is:

(a)  4.5

(b)  3

(c)   9

(d)  6

Ans.(d)

In  ABO

According to ratio method

From triangle DCO

DO cot AO = 150 + 50 = 200 m

Speed =

(5)A tree is broken by the wind. If the top of the tree struck the round at an angle of 300 and at a distance of 30 m from the root, then the height of the tree is :

(a)

(b)

(c)

(d)

Ans. (b)

√3=30

1= 10√3  & 2 =20√3

so total height is 1+2 =10√3+20√3= 30√3

(6)The angle of elevation of a cloud from height h above the level of water in a lake is a and the angle of the depression of its image in the lake is b. Then, the height of the cloud above the surface of the lake is :

(a)

(b)

(c)

(d)

Ans. (d)

Let P be the cloud at height H above the level of the water in the lake Q its image in the water

,

B is at a point at a height AB = h, above the water, Angle of elevation of P and depression of Q from B are respectively

In  triangle PBM

From equations (i) and (ii),

More from us:

Important Notes & Short Tricks on Height & Distance Part -2

Important Notes & Short Tricks on Trigonometric Identities

Gradeup Presents Green Card to your dream job. Get Unlimited Access to all Mock Tests on a single card. Hurry up!! Get your Green card now.

### SSC CGL 2020 Exam: Attempt free Mock Test

Looking for a single course with a multi-dimensional approach. Your search ends here. GradeUp presents 'SSC Foundation 2020-21', a course that caters to multiple exams.

## SSC Foundation 2020-21 Course: Click to start a free Trial

### Click here to enrol yourself in the course for maximum benefits - Start FREE Trial (English)

'Attempt subject wise questions in our new practise section' Click here

Gradeup today to score better

Posted by:

Member since Nov 2019
32 Doubts Answered & 0 Best Answers
49 Thanks Recieved
55 Questions Answered Correctly

write a comment
Good

Sunil KumarJan 12, 2020

Sir English ki tayari kaise kare

Kolesh PrajapatiApr 23, 2020

SSC m top krna h to English se pyar krna pdegs

shweta palJul 13, 2020

Thanks sir

KunalJul 14, 2020

Please follow me on the garde up..
kunal Vichare.......

Aashu MishraJul 15, 2020

Hindi me bhi notes de

Sunil KhicharFeb 5, 2021

Hh

Ranjeet KumarFeb 10, 2021

Good sir
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 support@gradeup.co
The text passage contains a series of height and distance problems, each with a question and an answer. The questions are related to the angles of elevation, depression, and the height of objects such as poles, aeroplanes, and trees.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Important Notes & Short Tricks on Height & Distance Part -3

Updated : February 5th, 2021
Share via   |

In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam. In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam.

In this part, we will try to solve the question with the help of ratio. This part includes some important question for the SSC Exam.

(1)Two poles of equal height are standing opposite to each other on either side of a road, which is 28m wide. From a point between them on the road, the angles of elevation of the tops are 300 and 600. The height of each pole is:

(a)

(b)

(c)

(d)

Ans.   (d)

Let AB and CD be the pole and AC be the road.

Let AE = x, then EC = 28-x and AB = CD = h. Then   let AB = CD=√3

then, EC =1 and AE = 3

AC (ratio value) = 3 + 1 = 4

4 = 28 then 1 =7

and √3=7√3 so height of tower is 7√3.

(2)There are two vertical posts, one on each side of a road, just opposite to each other. One post is 108 metre high. From the top of this post, the angles of depression of the top and foot of the other post are 300 and 600 respectively. The height of the other post is :

(a)36

(b)72

(c)76

(d)80

Ans (b)

The height of greater Lower i.e.  AB = 108 = H

so height of tower is 72

(3)An aeroplane when flying at height of 5000 m from the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 600 and 450 respectively. The vertical distance between the aeroplanes at that instant is:

(a)

(b)

(c)

(d)4500 m

Ans (c)

In this question we have two triangle ABC and triangle DBC. In triangle ABC we apply the ratio according to 60° and in triangle DBC we apply ratio according to the 45°. That why we take AB=√3 and DB =1.

(4)A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 300 and after 2 minutes, he observes the same bird in the south at an angle of elevation of 600. If the bird flies all along in a straight line at a height of then its speed in km/h is:

(a)  4.5

(b)  3

(c)   9

(d)  6

Ans.(d)

In  ABO

According to ratio method

From triangle DCO

DO cot AO = 150 + 50 = 200 m

Speed =

(5)A tree is broken by the wind. If the top of the tree struck the round at an angle of 300 and at a distance of 30 m from the root, then the height of the tree is :

(a)

(b)

(c)

(d)

Ans. (b)

√3=30

1= 10√3  & 2 =20√3

so total height is 1+2 =10√3+20√3= 30√3

(6)The angle of elevation of a cloud from height h above the level of water in a lake is a and the angle of the depression of its image in the lake is b. Then, the height of the cloud above the surface of the lake is :

(a)

(b)

(c)

(d)

Ans. (d)

Let P be the cloud at height H above the level of the water in the lake Q its image in the water

,

B is at a point at a height AB = h, above the water, Angle of elevation of P and depression of Q from B are respectively

In  triangle PBM

From equations (i) and (ii),

More from us:

Important Notes & Short Tricks on Height & Distance Part -2

Important Notes & Short Tricks on Trigonometric Identities

Gradeup Presents Green Card to your dream job. Get Unlimited Access to all Mock Tests on a single card. Hurry up!! Get your Green card now.

### SSC CGL 2020 Exam: Attempt free Mock Test

Looking for a single course with a multi-dimensional approach. Your search ends here. GradeUp presents 'SSC Foundation 2020-21', a course that caters to multiple exams.

## SSC Foundation 2020-21 Course: Click to start a free Trial

### Click here to enrol yourself in the course for maximum benefits - Start FREE Trial (English)

'Attempt subject wise questions in our new practise section' Click here

Gradeup today to score better

Posted by:

Member since Nov 2019
32 Doubts Answered & 0 Best Answers
49 Thanks Recieved
55 Questions Answered Correctly

write a comment
Good

Sunil KumarJan 12, 2020

Sir English ki tayari kaise kare

Kolesh PrajapatiApr 23, 2020

SSC m top krna h to English se pyar krna pdegs

shweta palJul 13, 2020

Thanks sir

KunalJul 14, 2020

Please follow me on the garde up..
kunal Vichare.......

Aashu MishraJul 15, 2020

Hindi me bhi notes de

Sunil KhicharFeb 5, 2021

Hh

Ranjeet KumarFeb 10, 2021

Good sir
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 support@gradeup.co
user
The text passage contains a series of height and distance problems, each with a question and an answer. The questions are related to the angles of elevation, depression, and the height of objects such as poles, aeroplanes, and trees.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS