The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30anddeg; and 60anddeg; respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

SSC Exam > SSC Questions > The angles of depression of the top and botto...

Join the Discussion on the App

The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.

a)
60 m
b)
70 m
c)
75 m
d)
80 m

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

Practice Test: Quantitative Aptitude - 6

Attempt Test

Attempt this Test

Verified Answer

The angles of depression of the top and bottom of a 50 m high electric...

According to the figure,
DE is the electric pole (height = 50m), AB is the building.
∠ADC = 30° & ∠AEB = 60°
We have to find out the length of AB.
As, DC ⊥ AB & EB ⊥ AB so, DC || EB
⇒ DE = BC
Also, DE || AB so, DC = EB
Now, AD × cos30° = DC & AE × cos 60° = BE
⇒ AD × cos30° = AE × cos 60°
⇒ √3 ×AD = AE
From the figure, AB = AC + BC
⇒ AB = AC + DE [As, DE = BC]
⇒ AE × sin 60° = AD × sin 30° + 50
⇒ √3 ×AD × sin 60° = AD × sin 30° + 50
⇒ AD = 50
Now, AB = AD × sin 30° + 50
⇒ AB = 25 + 50 = 75 meter.
The height of the building = 75 meter

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for SSC exam

Similar SSC Doubts

A tower stands on the top of a building which is 40 metres high. The angles of depression of a point situated on the ground from the top and the bottom of the tower are found to be 60° and 45° respectively. What is the height (in metres) of the tower?

View answer

There are two buildings, one on each bank of a river, just opposite to each other. One building is 36 m high. From the top of the this building, the angles of depression of the top and foot of the other building are 30° and 45° respectively. Find the height of the other building?

View answer

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60° and 30° respectively. The height of the temple is more than the building. The height of the temple is

View answer

The angle of elevation of the top a tower form the base of a building is 60° and the angle of elevation of the top of the building from the base of the tower is 30°. If the height of tower is 125 m, find the height of the building.

View answer

Reshma and Praveen are ranked of 9th and 13th from the top of the class of 57 students. What is their respective ranks from the bottom of the class ?

View answer

The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer?.

Solutions for The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.

Here you can find the meaning of The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The angles of depression of the top and bottom of a 50 m high electric pole form the top of a building are 30° and 60° respectively. Find the height of the building.a)60 mb)70 mc)75 md)80 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.

Explore Courses for SSC exam