Need help with this trigonometry word problem
A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree angle with the ground. Find the height of the balloon from the ground.
Please show your work

Respuesta :

9514 1404 393

Answer:

  100√3 ≈ 173 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  sin(60°) = height/(200 m)

  height = (200 m)sin(60°) ≈ 173.205 m

The height of the balloon is about 173 meters.

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