Shortcut of Heights and Distances

Share on whatsapp
Share on facebook
Share on twitter

Shortcut 85:
Using tanƟ
Ɵ                                tan

0                                    0

30                            [latex]1/\sqrt3 [/latex]

45                                  1

60                             [latex] \sqrt3[/latex]

90                              [latex]\infty [/latex]
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?
tanƟ = opp/adj
tan 60 = 100/x
√3 = 100/x
x= 100/√3

Shortcut 86:
Using Pythagoras theorem
[latex] hyp^2=opp^2+adj^2[/latex]
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?
hyp2 = opp2 + adj2
5002 = 4002 + x2
x2 = 90000
x = 300 m

Subscribe to our Newsletter

Get Latest updates from Exambin right into your mailbox. Never miss an update again.

Share this post with your friends

Share on facebook
Share on google
Share on twitter
Share on linkedin