Question

Need help with this trigonometry word problem

Answer 1

The height of the balloon from ground is 100√3m.

Justification:

The above situation forms a right angled triangle ABC in which length of cable 200m indicates the hypotenuse side and angle of inclination is 60°.

So, In ΔABC

sinθ = p/h

sin60° = AB/AC

√3/2 = AB/200

AB = 200√3/2

AB = 100√3m.

Note: Figure attached with answer.

Answer 2

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.