Answer:
B.) 162 miles
Step-by-step explanation:
It really helps to draw a model when you are working with these. After having drawn a model, you can see that a right triangle was made, with the distance from Sameer's house to his cousin's being the hypotenuse. So, you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
Solve for c. Fill in values:
[tex]135^2+90^2=c^2[/tex]
Evaluate exponents:
[tex]18,225+8,100=c^2[/tex]
Simplify addition:
[tex]26,355=c^2[/tex]
Find the square of both sides:
[tex]\sqrt{26,355} =\sqrt{c^2}\\\\162.34=c[/tex]
Flip
[tex]c=162.34[/tex]
Round to the nearest mile
[tex]c=162[/tex]
Done.
