Question

On a grid map, each unit represents 1 mile. An island is located at (4,5). A boat travels in a straight line from (2,0) to the island. How far does the boat travel? Round your answer to the nearest tenth. Enter the correct answer in the box.

a) 3.2 miles
b) 4.5 miles
c) 5.4 miles
d) 6.7 miles

Answer 1

c) 5.4 miles. The boat travels approximately 5.4 miles.

Step-by-step explanation:

To find the distance the boat travels, we can use the distance formula from coordinate geometry. The formula is given by: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, (x1, y1) = (2, 0) and (x2, y2) = (4, 5). Substituting these values into the formula, we get: d = sqrt((4 - 2)^2 + (5 - 0)^2)

This simplifies to: d = sqrt(2^2 + 5^2) = sqrt(4 + 25) = sqrt(29)

Rounding to the nearest tenth, we get that the boat travels approximately 5.4 miles.