What’s the answer to the problem

Mathematics

1 answer:

Maru [420]3 years ago

7 0

Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
√
130
10
,
−
√
130
10
m
=
130
10
,
-
130
10
Decimal Form:
m
=
1.14017542
…
,
−
1.14017542
…

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.