Need help solving for X

Mathematics

2 answers:

larisa86 [58]2 years ago

6 0

Sin Ф=opposite / hypotenuse
Data:
Ф=70º
opposite=12 cm

hypotenuse=x

therefore:

sin 70º=12 cm/hypotenuse
hypotenuse=12 cm / sin 70º
hypotenuse=12.770...cm≈12.8 cm

Answer: x=12.8 cm

Alex17521 [72]2 years ago

3 0

Here, sin 70 = 12 / x
As we know, the exact value of sin 60, we can round-off, for that:
sin 60 = 12 / x
√3 / 2 = 12 / x
x = 24/√3
x = 8√3 cm

So, your final answer is 8√3 or 13.84 cm

Hope this helps!

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