SOLUTION: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?

Algebra ->  Square-cubic-other-roots -> SOLUTION: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?      Log On


   



Question 32429This question is from textbook college algebra
: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? This question is from textbook college algebra

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Based on the direction of the travel, it produces a right-angled triangle where the length of the hypotaneous is required in the question.
Based on Pythagorean's theorem, we know
(Base)^2 + (Leg)^2 = (hypotaneous)^2
=> (hypotaneous)^2 = 35^2 + 65^2 = 5450
=> hypotaneous = sqrt(5450)
Answer: Sqrt(5450) miles from starting point, approx 74 miles;
If distance covered is needed, the answer would be 65+35 = 100 miles