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?
Answers
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
[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]
Christina had to travel 125 m from the three-way junction to the church.
The distance Kristina travelled from the three-way junction to the church is; x = 125 meters
We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.
This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.
Now, we are told that the displacement between the church and McDonalds is 191.442 meters.
The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.
Using Pythagoras theorem, we have;
x² + 145² = 191.442²
x² = 191.442² - 145²
x² = 15625.039364
x = √15625.039364
x = 125 meters
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