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.
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.
1 answer:
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Answer:
Step-by-step explanation:
The function seems to increase at a constant rate of 3 units. This means that the equation that satisfies these points could be that of a straight line.
We use the first two points to find the slope of the line.
(0, -10)
(1, -7)
(2, -4)
The equation of a line is:
Where m is the slope of the line and b is the cutoff point with the y axis.
To find the slope of a line we use the following equation:
So:
The cut point (b) is found by replacing in the previous equation, any of the three points provided and clearing b.
Now we can write the equation of the line sought.
You can verify that the three points provided belong to this equation.