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) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.

(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________

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Lanuel

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

  • Height of ravine = 100 feet.

How to calculate the length of rope.

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

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