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chubhunter [2.5K]
2 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]2 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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Answer:

33.

Step-by-step explanation:

Since they are both primes, the least common factor of 11 and 3 is 11 times 3, which is 33. Therefore, Camryn will practice the trumpet and flute on the same day 33 days in the future.

7 0
3 years ago
Which products result in a difference of squares? Check all that apply. (x – y)(y – x) (6 – y)(6 – y) (3 + xz)(–3 + xz) (y2 – xy
kondaur [170]
<span>difference of squares formula:
</span>a^2<span> – b^</span>2<span> = (a + b)(a – b)

</span>so answers are

<span>(3 + xz)(–3 + xz)
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cause
</span><span>(3 + xz)(–3 + xz)
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--------------
</span>(y^2 – xy)(y^2 + xy)
= y^4 -x^2y^2

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<span>(64y^2 + x^2)(–x2 + 64y^2)
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3 years ago
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Setler79 [48]
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Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the s
tigry1 [53]

The current area is 15 x 9 = 135 square feet.

He wants to increase both the length and width by X:

Set up an equation:

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Simplify :

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Subtract 270 from both sides:

x^2 + 24x - 135 = 0

Use the quadratic formula to solve for x:

-24 +/- √(24^2 - 4(1*-135) / 2*1

x = 4.7 or -28.7

The answer has to be a positive value, so x = 4.7 feet.

8 0
3 years ago
Expand and simplify 9a+3(8-2a).
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In bold is your answer
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