Max's house has two steps on the front porch as shown. If each
step is the same size, what is the
total vertical distance covered by
the two steps

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

Taking square root on both sides.

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

Now,

Vertical height of 2 steps =

                                         =

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

Therefore, the correct option is A.

12cm

the answer is d

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.