24.1k views
0 votes
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

1 Answer

1 vote

9514 1404 393

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.

Need help with this trigonometry word problem A balloon is connected to a meteorological-example-1
User Justin Caldicott
by
5.7k points