Question

Sameer visited his cousin and had to drive 135 miles north then 90 miles west. At the end of his trip, he pulled out a map to determine how far from home he was. What is the shortest distance from Sameer's house to his cousin's house? Round your answer to the nearest mile.

Group of answer choices
163
162
164
160

Answer 1

B.) 162 miles

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:

`a^2+b^2=c^2`

Solve for c. Fill in values:

`135^2+90^2=c^2`

Evaluate exponents:

`18,225+8,100=c^2`

Simplify addition:

`26,355=c^2`

Find the square of both sides:

`√(26,355) =√(c^2)\\\\162.34=c`

Flip

`c=162.34`

Round to the nearest mile

`c=162`

Done.