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A -foot pole is supporting a tent and has a rope attached to the top. The rope is pulled straight and the other end is attached to a peg one foot above the ground. The rope and the pole form an angle that measures , as shown below. The pole, the rope, and an imaginary line that runs across the ground from the top of the peg to the pole form a right triangle. The hypotenuse is unknown. The pole is adjacent to the 35-degree angle, and it is labeled 10 feet. The 10 foot measurement includes the height of the 1 foot peg. The imaginary line that runs across the ground is opposite the 35-degree angle, and it is not labeled. Which expression shows the length of the rope?

Respuesta :

Lanuel

An expression which shows the length of this rope is: 10/cos35 ≈ 12.2 feet.

How to determine the length of this rope?

In order to determine the length of this rope, we would apply the law of cosine because both the rope and apple formed an angle that are adjacent in a right triangle:

cos(θ) = Adj/Hyp

Where:

  • Adj is the adjacent side of a right triangle.
  • Hyp is the hypotenuse of a right triangle.
  • θ is the angle.

Substituting the given parameters into the formula, we have;

cos(35) = 10/Hyp

Hyp = 10/cos35

Hyp = 12.2 feet.

Read more on law of cosine here: brainly.com/question/27613782

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