Answer:
x = 10 ft
Step-by-step explanation: INCOMPLETE QUESTION (WE DON´T HAVE IMAGENS OF TRIANGLE TO CHOOSE FROM)
A triangle is a three sides poligon, and in fact we have quite a big number of different shapes. All we need is that three differents segments of lines ( AB , AC, BC ) cut each other by pairs, to get a triangle
When a triangle has a right angle, that means when two of the segmets that form the triangle are perpendicular, we have a right triangle.
In our case the wall of the house and the ground form a right angle therefore we are in presence of a right triangle.
In a right triangle the opposite side to the 90⁰ angle is call hypotenuse, and the other two sides legs, there is a very important relation between the sides known as Pytagoras Theorem, in terms of equation that theorem establishes:
c² = a² + b² where c is the hypotenuse and a and b the legs, according to that any question about dimensions could be solve if we know two of the parameter of the triangle, in this particular case the question should be "to find the length of the third side.
The opposite side to the ∠90⁰ is the ladder ( 26 ft ) and the top point in the wall is 24 ft from the ground so we can compute the other leg ( side between the wall and the bottom of the ladder)
(26)² = (24)² + x²
x² = (26)² - (24)² ⇒ x = √ (26)² - (24)² x = √ 676 - 576 ft
x = √100 ft
x = 10 ft
To solve this type of problem
1.-Look for a right triangle
2.-Identify the hypotenuse
3.-Apply Pytagoras theorem
moved from State 2 to State 1.