The length of PN is 2.63 feet
<u>Explanation:</u>
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Given:
∠P=90°,
∠O=17°,
OP = 8.6 feet
PN = ?
The given triangle is a right angle triangle as one angle is 90°
We know:


Therefore, the length of PN is 2.63 feet
To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m
Okay so the relationship between points K and K' is that you subtract 4 from the x values and you add 6 to the y values.
1 - 4 = - 3
L ( - 3 , 3 ) ==> L' ( - 3 - 4 , 3 + 6 ) ==> L' ( - 7 , 9 )
The only answer option with L' as such is answer choice B.
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey