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TEA [102]
2 years ago
9

Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion an

d needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.
The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.

(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
6 0

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

<h3>How to calculate the length?</h3>

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

Learn more about length on:

brainly.com/question/2217700

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3 years ago
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aliina [53]
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3 years ago
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N76 [4]

4 liters of punch can serve 16.

5 liters of punch will be needed for 20 servings.

7 liters of punch will serve 28.

Step-by-step explanation:

Given,

Ratios of liters of punch to servings = 2:8

Let,

x be the servings for 4 liters.

New ratio of liters of punch to servings = 4:x

Using proportion;

Ratio :: New ratio

2:8::4:x

Product of mean = Product of extreme

8*4=2*x\\32=2x\\2x=32

Dividing both sides by 2

\frac{2x}{2}=\frac{32}{2}\\x=16

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

2:8::y:20

Product of mean = Product of extreme

8*y=20*2\\8y=40\\

Dividing both sides by 8

\frac{8y}{8}=\frac{40}{8}

y=5

5 liters of punch will be needed for 20 servings.

Let,

z be the number of servings for 7 liters of punch.

New ratio = 7:z

Using proportion

2:8::7:z\\

Product of mean = Product of extreme

8*7=2*z\\56=2z\\2z=56

Dividing both sides by 2

\frac{2z}{2}=\frac{56}{2}\\z=28

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

4 0
3 years ago
D\dx(3x^2)<br> Please answer fast.
Sloan [31]

Answer:

3x

Step-by-step explanation:

\frac{d}{dx} (3x  {}^{2} )

\frac{1}{x} 3 {x}^{2}

3x

7 0
3 years ago
Anyone please help me
scZoUnD [109]
I think it’s 5/4 because from (0,-1) you go up 5 and then left 4
5 0
3 years ago
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