- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Write 'True' or 'False' and justify your answer in each of the following:

The angle of elevation of the top of a tower is $ 30^{\circ} $. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.

**Given: **

The angle of elevation of the top of a tower is \( 30^{\circ} \). If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.

**To do: **

We have to find whether the given statement is true or false.

**Solution:**

The given angle of elevation $=30^o$.

Let the height of the tower$=h$, and the viewer be at a distance of $x$ from the foot of the tower.

Then,

$\frac{h}{x}=tan30^o=\frac{1}{3}\ ........\ ( i)$

If the height of the tower is doubled then the new height $=2h$.

Let the angle of elevation of the top be $\theta$.

Then, $tan\theta =\frac{2h}{x}=2\times \frac{1}{3}=\frac{2}{3}\ ........( ii)$

But if the angle of elevation doubles then it should be $=\theta =2\times 30^o=60^o$.

Then, $tan\theta =tan60^o=3\ ........\ ( iii)$.

Comparing $( ii)$ & $( iii)$, there is a contradiction.

Thus, we came to know, if the height of the tower is doubled, then the angle of elevation of its top will not be doubled.

- Related Questions & Answers
- MongoDB query to find on the basis of true or false values
- What is the height of marketing?
- Get the number of true/false values in an array using JavaScript?
- Write a Program to Find the Maximum Depth or Height of a Tree in C++
- Define the height of each row in CSS Grid Container
- Return the mask of a masked array or full boolean array of False in Numpy
- What is the height of the status bar in Android?
- C++ Queries to Answer the Number of Ones and Zeros to the Left of Given Index
- Return the angle of the complex argument in Python
- Set the height of a line of text with CSS
- How to get the height and width of the android.widget.ImageView?
- How to find the k-th and the top "k" elements of a tensor in PyTorch?
- Write a C Program to count the frequency of each character
- Tower Of Hanoi Problem
- What are the top 4 benefits of banana for your skin?
- How to set the angle of rotation of a Circle using FabricJS?