**Answer:**

The scale factor of the dilation that transforms the triangle is 1/3

**Step-by-step explanation:**

9x1/3 is 3. 6x1/3 is 2, etc.

**Step-by-step explanation:**

**Answer:**

The base of the ladder has a length of 8 ft.

**Step-by-step explanation:**

We have to draw a triangle, as the figure attached.

The hypothenuse of the triangle is the length of the ladder (17 ft).

The height on the wall that the ladder reach is the adjacent (15 ft).

The base of the ladder is our unknown quantity X.

We will use the Pythagorean theorem to express the relation between these numbers:

The base of the ladder has a length of 8 ft.

**Answer:carl**

**Step-by-step explanation:**

**Answer:**

<u>**The height of the tree is √65 or 8.06 feet**</u>

**Step-by-step explanation:**

**Let's use the Pythagorean theorem to find out the height of the tree, this way:**

Hypotenuse = length of the ladder = 9 feet

Leg 1 = Distance from the base of the tree to bottom of the ladder = 4 feet

Leg 2 = Height of the tree

**Now, replacing with the real values we have:**

Leg 2 ² = Hypotenuse² - Leg 1²

Leg 2² = 9² - 4²

Leg 2² = 81 - 16

Leg 2² = 65

√Leg 2² = √65

Leg 2 = √65 or 8.06 feet

<u>**The height of the tree is √65 or 8.06 feet**</u>