First we would need to make a diagram, and from the given it would seem like it is a right triangle with the height as 760 ft. We have an angle given 89°18' which would need to be converted to degrees form, which is 89.3<span>°.
Now we would need to look for the ground distance, meaning the adjacent of the triangle. Since we have been given the angle and the height (which is the opposite side from the angle) we use the trigonometric function cotangent.
</span><span>760 Cot <span>[<span><span>(<span>89.3</span>)</span>∘</span>]</span>= 9.29 ft, that is the answer.</span>
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The quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
<h3>What is the quotient?</h3>
Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
![q=\dfrac{a}{b}](https://tex.z-dn.net/?f=q%3D%5Cdfrac%7Ba%7D%7Bb%7D)
Here, (<em>a, b</em>) are the real numbers.
The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,
![\dfrac{7^{-1}}{7^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%5E%7B-1%7D%7D%7B7%5E%7B-2%7D%7D)
Let the quotient of this division is n. Therefore,
![n=\dfrac{7^{-1}}{7^{-2}}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B7%5E%7B-1%7D%7D%7B7%5E%7B-2%7D%7D)
A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,
![n=\dfrac{7^{2}}{7^{1}}\\n=7](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B7%5E%7B2%7D%7D%7B7%5E%7B1%7D%7D%5C%5Cn%3D7)
Hence, the quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
Learn more about the quotient here;
brainly.com/question/673545
An<span> inequality:
</span>3x(3x + 1) < 35