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…

Question

asked Oct 11, 2022 24.1k views

1 Answer

Justin Caldicott · Answer 1 · 2022-10-17T04:24:32+0000

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Answer:

100√3 ≈ 173 m

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.