Answer:
(c) 4.1 km
Explanation:
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
where:
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
To get the length of the hypotenuse, we will use the Pythagorean theorem
[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]
Substitute with the givens:
[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km
Hope this helps :)
