Answer:
Step-by-step explanation:
we know that
---->
see the attached figure to better understand the problem
Triangles ABD and BCD are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
substitute the given values
simplify
Answer:
25.61 feet
Step-by-step explanation:
First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.
Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.
One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have
sin(80°) = opposite / 26 feet
multiply both sides by 26 feet
sin(80°) * 26 feet = opposite
= 25.61 feet as the height of the wall the ladder reaches
The function that has the same graph as x + y = 11 is f(x) = -x + 11
<h3>Graph of functions</h3>From the question, we are to determine the function that has the same graph as the given equation
The given equation is
x + y = 11
In the above equation, y is the dependent variable.
and
Among the given equation, f(x) is the dependent variable
Thus, we can write that
x + f(x) = 11
Isolate f(x)
f(x) = -x + 11
Hence, the function that has the same graph as x + y = 11 is f(x) = -x + 11
Learn more on Graph of functions here: brainly.com/question/20388062
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