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chubhunter [2.5K]
3 years ago
5

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
jeka57 [31]3 years ago
3 0

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

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The answer is either A or C because they depends on the wages earned

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xxTIMURxx [149]

Answer:

9 units

Step-by-step explanation:

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14-5 = 9 units

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3 years ago
Kayden buys bottles of grapefruit juice at the corner store. Assume each bottle of juice is the same price. The proportional rel
Bond [772]

An equation is formed of two equal expressions. The value of the constant of proportionality is 0.41.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given there exists a proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents. Therefore,

c ∝ j

c = kj

As the relation is represented by the equation c=0.41j. Therefore, the value of the constant of proportionality is 0.41.

Learn more about Equation:

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7 0
2 years ago
An electronic store prices 3 dozen video games at a total of 1467 if each video game costs the same amount what m is the total c
PilotLPTM [1.2K]

Answer:4 dozens of video games would cost $1956

Step-by-step explanation:

An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36

if each video game costs the same amount, then the cost of one video game would be

1467/36 = $40.75

The total number of video games in 4 dozens of video game would be

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Therefore, the total cost of 48 video games would be

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4 0
3 years ago
How to solve 2x-4(x+3)= x-3
Murrr4er [49]

Answer: x=-3

Step-by-step explanation:

2x-4(x+3)=x-3

2x-4x-12=x-3

-2x-12=x-3.    add 12 to both sides

-2x=x+9.        subtract x from both sides

-3x=9.            Divide both sides by -3

x=-3

7 0
3 years ago
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