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What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

User Cgotberg
by
3.6k points

2 Answers

7 votes

Answer:

For plato users the correct option is D.

Explanation:

D. 4.9 units, 14.2 units

User Zhouji
by
3.7k points
5 votes

9514 1404 393

Answer:

  • opposite: 4.88
  • adjacent: 14.18

Explanation:

SOH CAH TOA is a mnemonic intended to remind you of the relevant trig relations.

Sin = Opposite/Hypotenuse ⇒ opposite = 15×sin(19°) ≈ 4.88 units

Cos = Adjacent/Hypotenuse ⇒ adjacent = 15×cos(19°) ≈ 14.18 units

What are the lengths of the legs of a right triangle in which one acute angle measures-example-1