UPSC Exam  >  UPSC Questions  >  The horizontal distance between two towers is... Start Learning for Free
The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.?
Most Upvoted Answer
The horizontal distance between two towers is 90 m. The angular depres...


Given data:

  • Horizontal distance between two towers = 90 m
  • Height of the second tower = 180 m
  • Angular depression = 45 degrees


Calculating the height of the first tower:

Let h be the height of the first tower.

From the given data, we can create a right-angled triangle with the height of the first tower, height of the second tower, and the horizontal distance between them.

Using trigonometry:

We can use the tangent function to find the height of the first tower.

Tan(45 degrees) = (180 - h) / 90

1 = (180 - h) / 90

180 - h = 90

h = 180 - 90 = 90 m

Conclusion:

The height of the first tower is 90 meters.

Explore Courses for UPSC exam

Top Courses for UPSC

The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.?
Question Description
The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.?.
Solutions for The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? defined & explained in the simplest way possible. Besides giving the explanation of The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.?, a detailed solution for The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? has been provided alongside types of The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? theory, EduRev gives you an ample number of questions to practice The horizontal distance between two towers is 90 m. The angular depression of the top of the first as seen from the top of the second which is 180 m high is 45 deg Find the height of the first tower.? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev