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What is the length of the hypotenuse? Answer : 17

Using the triangle above, find the measure of each trigonometric ratio of angle A. Write your
answer as a decimal rounded to the nearest hundredth.
sin A =
cos A =
tan A =
NEED HELP ROUNDING MY ANSWER PLEASE HELP!!!

What is the length of the hypotenuse? Answer : 17 Using the triangle above, find the-example-1

1 Answer

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Answer:

Below.

Explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

  • (Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

  • H² = 8² + (15)²
  • H² = 64 + 225
  • H² = 289
  • H = √(17*17)
  • H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

  • Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

  • cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

  • tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

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