Question

a boat is traveling east across a river that is 112 meters wide at 8 meters per second. if the river has a northwest current of 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest 10?

Answer 1

given:

boat speed= 8 m/s

river current= 5 m/s

to find:

the resultant speed of the motorboat rounded to the nearest 10.

solution:

use pythagorean theorem.

let the unknown be "x".

`{a}^(2) = {b}^(2) + {c}^(2)`

`{c}^(2) = \sqrt{ {a}^(2) + {b}^(2) }`

`x = \sqrt{ {8}^(2) + {5}^(2) }`

`x = √(64 + 25)`

`x = 9.4 \: m |s`

hence, the resultant speed of the motorboat is 9.4 m/s