A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Quant Exam > Quant Questions > A 1.5 tall boy is standing at soe dustance fr...

Join the Discussion on the App

A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building?

Join for Free

Join for Free

Verified Answer

A 1.5 tall boy is standing at soe dustance from a 30m tall building . ...

Let AE is the Length of the building.

So AE = 30

Again BE = DF = 1.5

AB = AE - BE

= 30 - 1.5

= 28.5

Now in triangle ABC,

tan60 = AB/BC

=> √3 = 28.5/BC

=> BC = 28.5/√3

Again in triangle ABD

tan30 = AB/BD

=> 1/√3 = 28.5/BD

=> BD = 28.5*√3

=> BC + CD = 28.5√3

=> 28.5/√3 + CD = 28.5√3

=> CD = 28.5√3 - 28.5/√3

=> CD = (28.5*3 - 28.5)/√3

=> CD = 28.5(3-1)/√3

=> CD = (28.5*2)/√3

=> CD = 57/√3

=> CD = 57√3/(√3*√3) (Multiply √3 in numerator and denominator)

=> CD = 57√3/3

=> CD = 19√3

So the distance he walked towords building = 19√3 m

This question is part of UPSC exam. View all Quant courses

View all answers Start learning for free

Explore Courses for Quant exam

Similar Quant Doubts

A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.

View answer

A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speed Correct answer is '7'. Can you explain this answer?

View answer

A worker reaches his work place 15 minutes late by walking at 4 kmph from his house.The next day he increases his speed by 2 kmph and reaches in time. Find the distance from his house to his workplace Correct answer is '8'. Can you explain this answer?

View answer

Ajay covers certain distance with his own speed but when he reduces his speed by 10kmph his time duration for the journey increases by 40 hours while if he increases his speed by 5 kmphfrom his original speed he takes 10 hours less than the original time taken. Find the distance covered by him.

View answer

Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?

View answer

Share with a Friend

Answer this doubt

Question Description
A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building?.

Solutions for A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.

Here you can find the meaning of A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? defined & explained in the simplest way possible. Besides giving the explanation of A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building?, a detailed solution for A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? has been provided alongside types of A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? theory, EduRev gives you an ample number of questions to practice A 1.5 tall boy is standing at soe dustance from a 30m tall building . the angle of elevation from his eyes tot the top of the building increases from30 to 60as he waljs towards the building . find the distance he walked towards the building? tests, examples and also practice Quant tests.

Explore Courses for Quant exam