Question
Bird flies 80m east, then 60m south, then straight up
In to sky for 30m.
A)at this point how far is bird from his nest?
In to sky for 30m.
A)at this point how far is bird from his nest?
Answers
You should have a 3D diagram.
let the distance on the ground be x
x^2 = 80^2 + 60^2
let the distance from start to finish be y
y^2 = x^2 + 30^2
= 80^2 + 60^2 + 30^2
10900
y = √10900 = 104.4 m
or, using vectors
distance vector
= (0,80,0) + (60,0,0) + (0,0,30)
= )60,80,30)
magnitude = √(80^2 + 60^2 + 30^2)
= as before
let the distance on the ground be x
x^2 = 80^2 + 60^2
let the distance from start to finish be y
y^2 = x^2 + 30^2
= 80^2 + 60^2 + 30^2
10900
y = √10900 = 104.4 m
or, using vectors
distance vector
= (0,80,0) + (60,0,0) + (0,0,30)
= )60,80,30)
magnitude = √(80^2 + 60^2 + 30^2)
= as before
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