Question

A surfer drives his dune buggy out into the sand dunes. He follows his compass 10 miles due north and then turns due west. If he ends up approximately 35 mi from where he started, how far west did he travel? A) 10 miles. B) 25 miles. C) 33.5 miles. D) 35 miles

Answer 1

We will use the Pythagorean theorem:
c² = a² + b²
a² = c² - b² = 35² - 10² = 1225 - 100 = 1125
a =√1125 = 33.54
Answer: C ) 33.5 miles

Answer 2

Answer:

Option C. 33.5 miles

Step-by-step explanation:

A surfer drives his dune buggy into the sand dunes and after some time his position is 10 miles due north at point B.

Then he turns left and ends up ends up at the point B. His distance from origin O to point A is 35 miles.

Now we have to calculate distance AB (x).

From Pythagoras theorem

AO²= AB² + OB²

35² = x² + 10²

x² = 1225 - 100 = 1125

x = √1125 = 33.54 miles

Therefore option C. is the answer.