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2 years ago

Find the distance from A to C across the gorge illustrated in the figure

Mathematics

1 answer:

emmasim [6.3K]2 years ago

4 0

Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.

<h3>What is Tangent Ratio?</h3>

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

∅ = 25°
Adjacent length = 130 ft
Opposite length = AC

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

Learn more about the tangent ratio on:

brainly.com/question/4326804

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Answer:

The overall reliability is 99.7402 %

Step-by-step explanation:

The overall reliability of the product is calculated as the product of the working probability of the components.

For components A,B,C and F we have :

$P(failure)=\frac{1}{10000}$

⇒

$P(Work)=1-\frac{1}{10000}=\frac{9999}{10000}=0.9999$

For components D,E,G and H we have :

$P(failure)=\frac{3}{10000}$

⇒

$P(Work)=1-\frac{3}{10000}=\frac{9997}{10000}=0.9997$

Finally, for components I and J :

$P(failure)=\frac{5}{10000}$

⇒

$P(Work)=1-\frac{5}{10000}=\frac{9995}{10000}=0.9995$

Now we multiply all the working probabilities. We mustn't forget that we have got ten components in this case :

Components A,B,C and F with a working probability of 0.9999

Components D,E,G and H with a working probability of 0.9997

Components I and J with a working probability of 0.9995

Overall reliability = $(0.9999)^{4}(0.9997)^{4}(0.9995)^{2}=0.997402$

0.997402 = 99.7402 %

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