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evablogger [386]
3 years ago
5

The bolo cavern outside of vandalia is 421 ft below sea level. A little more than75 miles away. Mt Owens is 7295 feet above sea

level. What is the difference in elevation between the bolo cavern and Mt Owens?
Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

The difference in elevation is 7,716 ft

Step-by-step explanation:

Let

y -----> the elevation of Mt Owens

x -----> the elevation of the bolo cavern

we know that

To find the difference in elevation between the bolo cavern and Mt Owens, subtract the elevation of the bolo cavern from the elevation of Mt Owens

we have

y=7,295 ft ----> is positive because is above sea level

x=-421 ft ----> is negative because is below sea level

therefore

y-x=7,295-(-421)=7,295+421=7,716 ft

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\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

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Let the side of square i.e AB is x units.

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Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

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⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

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