Kelsey puts up an inflatable gorilla to advertise a sale. She realizes that she needs to secure the figure with rope. She estimates she needs to attach three pieces at the angles shown. How much rope does Kelsey need?
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Part 1
Kelsey needs

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ft of rope.
(Round to the nearest foot as needed.)

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raphealnwobi raphealnwobi · Answer 1 · 2022-02-24T10:47:36+01:00

The amount of rope needed by Kelsey is 96.9 feet

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of each rope.

For the 60 degree:

sin(60) = 25/l

l = 28.9 feet

For the 45 degree:

sin(45) = 25/l

l = 35.4 feet

For the 50 degree:

sin(50) = 25/l

l = 32.6 feet

Length of rope = 32.6 + 35.4 + 28.9 = 96.9 feet

The amount of rope needed by Kelsey is 96.9 feet

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