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earnstyle [38]
3 years ago
10

Gerry plans to place a 24 -foot ladder against the side of his house. The bottom of the ladder will be 8 feet from the house. Ho

w far up the side of the house will the ladder reach? Answer exactly or round to 2 decimal places.
Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0

Answer:

x = 22,63 ft

Step-by-step explanation:

The side of the house, the ladder and the ground form a right triangle. The hypotenuse is the ladder  ( 24 ft) and the legs are the side of the house (x uknown ) and the other leg, is distance between bottom of the ladder and the side of the house, therefore

Pytagoras Theorem :

H²  = L₁²  + L₂²    

(24)²   =  (8)²  +  x²

x²  = (24)²  - (8)²

x²  = 576  -  64   ⇒  x²  = 512

x = 22,63 ft

blondinia [14]3 years ago
3 0

Answer:

22.63 ft

Step-by-step explanation:

In the right triangle ABC attached,

AB is the length of the ladder which is the hypotenuse

AC is the distance of the ladder's bottom from the house.

We are to determine how far up the side of the house the ladder will reach.

We apply <u>Pythagoras Theorem</u> to solve this.

\overline{AB}^2=\overline{AC}^2+\overline{BC}^2\\24^2=8^2+\overline{BC}^2\\\overline{BC}^2=576-64\\\overline{BC}^2=512\\BC=\sqrt{512}=22.63 ft

The ladder will reach 22.63 ft (correct to 2 decimal places) up the wall of the house.

<u />

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Genrish500 [490]

The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees

<h3>How to solve for angle A?</h3>

Start by solving the acute part of angle A using the following sine function

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The measure of angle A is then calculated as:

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In (a), we have:

Ax = 54.3

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jolli1 [7]

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Step-by-step explanation:

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kodGreya [7K]

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Step-by-step explanation:

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2 years ago
the ages of mother and daughter are in the ratio of 5 : 3 if the age of mother is 50 years find the age of her daughter ​
netineya [11]

Answer:

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Step-by-step explanation:

Forming Algebraic expressions and solving them to find the age.

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