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satela [25.4K]
3 years ago
8

A circus performer walks on a tightrope 25 feet above the ground. The tightrope is supported by two beams and two support cables

. If the distance between each beam and the base of its support cable is 15 feet, what is the length of the support cable? Round to the nearest foot.
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
The length of the support cable is about 29 feet.

If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.

Just set up and use the Pythagorean Theorem.

15^2 + 25^2 = c^2
850 = c^2
29.15 = c
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Evaluate each trigonometric equation for θ.
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Answer:

sinФ = 8/17

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Step-by-step explanation:

Let us revise the trigonometry functions

  • Sin(x) = opposite/hypotenuse
  • Cos(x) = adjacent/hypoteouse
  • Tan(x) = opposite/adjacent
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In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

Hypotenuse = \sqrt{8^{2}+15^{2}  }

Hypotenuse = \sqrt{64+225}

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Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

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The correct statement is:

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8 0
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