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3 years ago

12

a 28ft ladder leans against a building it reaches the base of a window that is 20 ft high. how far is the base of the ladder fro

m the base of the bulding

1 answer:

grigory [225]3 years ago

6 0

Answer:

<h2>19.596 feet</h2>

Step-by-step explanation:

Use the pythagorean theorem.

a^2 + b^2 = c^2

a = 20ft

c = 28ft

400 + b^2 = 784

b^2 = 384

b = 19.596

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Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. Bob has 7 fewer cards than Caitlyn.

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We know that Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. <span>Bob has 7 fewer cards than Caitlyn. Since Bob has 7 cards fewer them Caitlyn we have to divide by 2 and subtract 7.

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Twenty years ago, you began investing $3,000 a year. Because your investments earned an average of 8 percent a year, your invest

Ulleksa [173]

Answer:

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Step-by-step explanation:

Yearly investment = $3,000

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Current value of investment = $92,000.

We need to find the total earnings on the investment.

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Earnings = $92,000 - $60,000

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