Need help with this trigonometry word problem
2 answers:
The height of the balloon from ground is 100√3m.
Justification:
<u>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° </u>.
So, In ΔABC
sinθ = p/h
sin60° = AB/AC
√3/2 = AB/200
AB = 200√3/2
AB = 100√3m.
<u>Note</u> : Figure attached with answer.
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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