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Mathematics

1 answer:

Ne4ueva [31]3 years ago

6 0

Answer:

1. -141

2. 0.98

3. 62.13

Step-by-step explanation:

1. 35 - 176 -> 176 - 35 = 141, then just make it negative

2. 0.55 x 1.79 = 0.9845 -> 0.98

3. 11.38 x 5.46 = 62.1348 -> 62.13

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The

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The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

The ladder forms a right triangle as it lies against the wall as shown in the image below.

Thus:

x = length of the ladder (hypothenuse)

Reference angle $(\theta) = 75^{\circ}$

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Apply SOH:

Thus,

$sin(\theta) = \frac{Opposite}{Hypotenuse}$

Plug in the values

$sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}$

Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

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