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Shtirlitz [24]
3 years ago
9

You walk 48 m to the north, then turn 60° to your right and walk another 45 m. how far are you from where you originally started

?

Mathematics
1 answer:
inna [77]3 years ago
3 0
I drew the image that this problem gave me. Based on that image, I solved the required measurement using the sin theta formula:

sin θ = opposite / hypotenuse

On my drawing, I made an imaginary right triangle to solve for the distance.

Pls. see my attachment. 

Sin θ = opposite / hypotenuse

<span>Sin(30) = opposite / 48m</span>

Sin (30) * 48m = opposite

24m = opposite

 

Sin(30) = opposite / 45 m

Sin(30) * 45 m = opposite

22.5 m = opposite

 

<span>24m + 22.5m = 46.5 m</span>

<span>
</span>

<span>I am 46.5m away from my original starting point. </span>

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