Answer:
Step-by-step explanation:
Given
height of two Poles are 60 and 80 ft
Distance between them is 100 ft
Let x be the distance of Pole of ht 80 ft from Point of stretch
thus length of rope is given by




differentiate w.r.t x we get

Put
to get minimum value

squaring

Rearranging


thus 

Answer:
12/5
Step-by-step explanation:
His fish tank is 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. So you need to find out how many gallons you can pour in 1 minute. You can eliminate A because he is filling more than 1 gallon per minute. You can divide 4.5 (4 1/2) by 1.875 (1 7/8). You get 2.4. Convert it back to a fraction, and you get 2 4/10. Simplify the fraction 2/5. Now convert it to an improper fraction. 12/5.
By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
<h3>How to find an angle in an unit circle</h3>
<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:


tan θ ≈ 77.173°
By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
To learn more on unit circles: brainly.com/question/12100731
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