Question

Solve the word problems. Round the answer to the nearest tenth.

Answer 1

Option A:

The shortest distance Mark can cover to reach home early is 54.7 miles.

Solution:

Towards North  = 35 miles

Towards West = 42 miles

Using Pythagoras theorem,

In right triangle, squares of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse.

$x^2=35^2+42^2$

$x^2=1225+1764$

$x^2=2989$

Taking square root on both sides, we get

$\sqrt{x^2}=\sqrt {2989}$

x = 54.67

x = 54.7

The shortest distance Mark can cover to reach home early is 54.7 miles.

Option A is the correct answer.