Question

A student travels 200 m north and then 500 m east to get to school. What is the shortest distance that he could travel between home and school?
A.700
B.300
C.539
D.458

Answer 1

Answer:

B???

Explanation:

guess

Answer 2

The shortest distance that the student could travel between home and school is approximately 539 meters.

Hence Option C) 539m is the correct answer.

Given the data in the question;

As illustrated in the image below,

• Distance traveled by student towards north;  $b = 200m$

• Distance traveled by student towards east; $a = 500m$

We get a right angled triangle and the hypotonus "c" is the shortest distance from the student's house to her school.

Now, using  Pythagorean theorem:

$a^2 + b^2 = c2$

We substitute our values into the expression and solve for "c"

$(500m)^2 + (200m)^2 = c^2\\\\250000m^2 + 40000m^2 = c^2\\\\c^2 = 290000m^2\\\\c = \sqrt{290000m^2}\\\\c = 539 m$

The shortest distance that the student could travel between home and school is approximately 539 meters.

Hence Option C) 539m is the correct answer.

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