Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

AC^2 = 22^2 + 5^2

AC^2 = 484 + 25 = 509

AC = √509

AC = 22.56

The slope of the ladder is

(change in y)/(change in x)

Slope = 22/5 = 4.4

3 0

4 years ago

What is A number divided by two plus seven

sashaice [31]

Step-by-step explanation:

Let the number be x, then

$\frac{x}{2 + 7} \\ \frac{x}{9}$

7 0

3 years ago

ABC with altitude \overline{BD}

just olya [345]

The length of $\overline{AC}$ is given by the relationship between the similar triangles

ΔABD and ΔBDC.

$\overline{AC}$ = 80

Reasons:

The given parameters are;

The altitude of triangle ΔABD = $\overline {BD}$

The hypotenuse of formed right triangle = $\overline {AC}$

The length of AD = 8

Length of BD = 24

Whereby ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

$\displaystyle \frac{\overline{AD}}{\overline{BD}} = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}$

Which gives;

$\overline{BD}^2$ = $\mathbf{\overline{DC} \times \overline{AD}}$

Therefore;

$\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}$

$\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}$

$\overline{AC} = \overline{DC} + \overline{AD}$

Which gives;

$\overline{AC} = 72 + 8 =\mathbf{ 80}$

Learn more about similar triangles here:

brainly.com/question/4618367

8 0

2 years ago

Add the two mixed numbers 1 1/3 + 3 2/3 = ?

pychu [463]

im not sureeeeeeeeeeeeeeeeeeeeeeeee

8 0

3 years ago