Question

Bashir works in a weather station and has launched a weather balloon. The height of the balloon is 4 kilometers and it is 1 kilometer from the station. In kilometers, what is the approximate distance between the station and the balloon?

Answer 1

it is c 4.1

Explanation:

Answer 2

Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.

From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,

`BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=√(17)\approx 4.123\text{ km.}`

Answer: nearly 4.123 km