Answer:
[tex]TG = 2.2[/tex]
Step-by-step explanation:
Represent Tristan's house with T, his grandparent's with G and his parents with P.
Such that:
[tex]TP = 6[/tex]
[tex]GP = 6.4[/tex]
Required
Find TG
To solve this, we make use of Pythagoras Theorem which is represented as:
[tex]GP^2 = TP^2 + TG^2[/tex]
Substitute values for GP and TP
[tex]6.4^2 = 6^2 + TG^2[/tex]
[tex]40.96 = 36 + TG^2[/tex]
Collect Like Terms
[tex]TG^2 = 40.96 - 36[/tex]
[tex]TG^2 = 4.96[/tex]
[tex]TG = \sqrt{4.96[/tex]
[tex]TG = 2.2[/tex] --- Approximated
Hence, the distance between Tristan ans his grandparent's house is 2.2 miles
