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
?
1 answer:
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
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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