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Answer:Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
Step-by-step explanation:
The picture can be divided into 2 same triangles and one rectangular.
The triangle areas is {1/2 *base * height}*2 (because 2 same triangles)
and you need to sum rectangular area (width * base).
The result will be area of 2 triangle +area of rectangular.
=2(1/2*base of triangle* height)+ (base of rectangular * height)
= (base of triangle* height)+(base of rectangular * height)
=(base of triangle +base of rectangular)*height
b1 is top length
b2 is bottom length, and so
Base of triangle =(b1-b2/2)
Base of rectangular =b2
Height =h
Thus A ={(b1-b2/2)+b2 }*h
A= [(b1+b2)/2]*h
Answer:2
n3
+
9
n
2
−
26
n
+
12
Step-by-step explanation: