Question

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answer 1

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

$145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}$

Christina had to travel 125 m from the three-way junction to the church.