Shortcut of Heights and Distances

August 31, 2016
12 Views

Shortcut 85:
Using tanƟ
Ɵ                                tan

0                                    0

30                            1/\sqrt3

45                                  1

60                              \sqrt3

90                              \infty
Question:
A man on a boat saw a tower of height 100m at an angle of 60o. What is the distance between the man and the tower?
Answer:
2b1
tanƟ = opp/adj
tan 60 = 100/x
√3 = 100/x
x= 100/√3

Shortcut 86:
Using Pythagoras theorem
 hyp^2=opp^2+adj^2
Question:
A man looks at the top of a tower which is 400m height. The minimum distance between him and top of the tower is 500m. What is the distance between him and the base of the tower?
Answer:
2c1
hyp2 = opp2 + adj2
5002 = 4002 + x2
x2 = 90000
x = 300 m

You may be interested

Introduction to Indian Cultural Heritage –Indian Culture and Tradition
General Awareness
0 shares67 views
General Awareness
0 shares67 views

Introduction to Indian Cultural Heritage –Indian Culture and Tradition

Santhosh - May 29, 2017

https://youtu.be/lK3oqU2WNY0  In the first session we will be knowing gist of everything.. More than 1.3 billion people live in Indian…

Components of Computer System – An Introduction to CPU, I/O Devices
Computer Awareness
0 shares62 views
Computer Awareness
0 shares62 views

Components of Computer System – An Introduction to CPU, I/O Devices

Santhosh - May 29, 2017

https://youtu.be/A1LwJRYiaho Welcome to the second session of computer awareness series. In the last session, we have seen about the history…

Daily Vocabulary from THE HINDU  – Episode 127 – May 27, 2017
English Language
0 shares235 views
English Language
0 shares235 views

Daily Vocabulary from THE HINDU – Episode 127 – May 27, 2017

Santhosh - May 27, 2017

Hello Friends, Based on the requests received from many users, we have introduced antonyms of the words that we are…