Question

Max's house has two steps on

Answer 1

Given:

Max's house has two steps on  the front porch.

Size of each step is the same.

To find:

The total vertical distance covered by  the two steps.

Solution:

From the given figure, it is clear that,

Base length of each step = 6 in

Hypotenuse = 10 in

Let h be the vertical height of each step.

Using Pythagoras theorem, the vertical height of one step is

$Base^2+Perpendicular^2=Hypotheuse^2$

$6^2+h^2=10^2$

$36+h^2=100$

$h^2=100-36$

$h^2=64$

Taking square root on both sides.

$h=\pm\sqrt{64}$

$h=\pm 8$

Height cannot be negative. So, h = 8 in.

Now,

Vertical height of 2 steps = $2\times 8$

                                         = $16$

So, the total vertical distance covered by  the two steps is 16 in.

Therefore, the correct option is A.