Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

The horizontal distance between two towers is 100 m and the angular depression of the top of the first tower as seen from the top of the second tower, which is 120 m high, is 45°. Find the height of the first tower.

A.
40 m
B.
60 m
C.
20 m
D.
80 m

Solution:

Given:Distance between two towers = 100 mHeight of second tower = 120 mAngular depression = 45° Formula Used:Tan ? = H/BWhere, H = HypotenuseB = baseCalculation:Let the length of first tower (CD) be h ? AE = AB - EB? AE = 120 - hIn the above figureBC = ED = 100mAccording to the question, we haveIn ?AED,Tan 45° = AE/ED? 1 = (120 - h)/100? 100 = 120 - h? h = 120 - 100? h = 20 m? The length of the first tower is 20 m.

For more questions,

Click Here

Download Gyanm App

free current affairs for competitive exams

Scan QR code to download our App for
more exam-oriented questions

free current affairs for competitive exams

OR
To get link to download app

Thank you! Your submission has been received. You will get the pdf soon. Call us if you have any question: 9117343434
Oops! Something went wrong while submitting the form.