Question 32428
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