Math please help?

Question

Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.

Answer 1

use pythagoras theorm: a^2 + b^2 = c^2 where c is the hypotenuse
in your case a & b will be north & east ( or vice versa) & c will be north-east
35^2 + 65^2 = c^2
1225 + 4225 = c^2
5450= c^2
sq.root 5450= c
c= 73.8km (1dp) although check this answer on calculator please cos I don't have one here & used my mobile phone!

Answer 2

Use Pythogaras' Theorem:

Let a represent the distance travelled north.
Let b represent the distance travelled east.
Let c represent the distance from the starting point.

Pythogaras' Theorem states that for a right-angled triangle:

c^2 = a^2 + b^2

So work out c^2, take the positive square root, and that's the final answer.

Note: This problem can be solved using Pythogaras' Theorem as when you travel north and east, you are actually making a right anlge. Join the final point and starting point with a line a you will have a right-angle triangle

Answer 3

Use the pythagorean theorem

a^2 + b^2 = c^2

35^2 + 65^2 = c^2
1225 + 4225 = c^2
5450 = c^2
Take the sqrt of both sides

c = +/- sqrt 5450
c = +/-73.8241153
c = 73.8 kilometers

Answer 4

Hmm its sqrt(35^2 + 65^2) . Its the resultant vector.

= 73.82 approx = 70 km

Answer 5

35^2 + 65^2 = x^2
1225 + 4225 = x^2
5450 = x^2
x= 73.8

Answer 6

c² = a² + b²

√c² = √(35)² + (65)²

√c² = √1225 + 4225

√c² = √5450

c = 73.8241153 km

c = 73.8 km rounded to one decimal place

- - - - - - - -s-

Answer 7

d = sqrt (35^2 + 65^2)

d = sqrt(5450)

d = 73.8 km

Answer 8

=Sqrt(35^2+65^2)

Answer 9

Use the Pythagorean relation.

Answer 10

73.8km?