Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ ![hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}](https://tex.z-dn.net/?f=hypotenuse%5C%20%27x%27%20%3D%5Csqrt%7B%28perpendicular%29%5E2%2B%28base%29%5E2%7D)
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒ ![x=\sqrt{(169+121)}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B%28169%2B121%29%7D)
⇒ ![x= \sqrt{290}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%7B290%7D)
⇒
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer:
Step-by-step explanation:
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#3. Plugging the point (3,0) into any of the equations except the third one gives an invalid answer.
Answer:
h=2
a=4
k= -21
Step-by-step explanation:
your h and k are vertex . h= x coordinate of vertex and k= y
so formula for vertex coordinates is x= -b/2a and y= (4ac-b²)/4a
your a b c are 4 -16 and -5 respectively according to the main equation
your a is concavity which is the same number as the 'a' of the equation