Question

Two weather stations are reporting on a hurricane out at sea. Weather station B is located 169 miles (mi)

from the hurricane, while weather station A is located 132 mi from the hurricane. Approximately how far
apart are the two weather stations from each other?
O 56 mi
O 112 mi
O 45 mi
O 106 mi

Answer 1

To find the distance between the two weather stations, we can use the Pythagorean theorem. The approximate distance between the two weather stations is 214.51 miles.

To find the distance between the two weather stations, we can use the Pythagorean theorem. Let's call the distance between weather station A and the hurricane x, and the distance between weather station B and the hurricane y.

According to the given information, x = 132 mi and y = 169 mi. The distance between the two weather stations is the hypotenuse of a right triangle with sides x and y. Using the Pythagorean theorem, we can calculate it as follows:

`d = sqrt(x^2 + y^2)`

Substituting the given values, we have:

d =
`(132^2) + (169^2))`

d = (17424 + 28561)

d = (45985)

d ≈ 214.51 mi

Therefore, the approximate distance between the two weather stations is 214.51 miles.