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Glorin and Therin reach the net followed by Targrenon. Erna is almost at the base of pillar closest to cliff face. Mavin falls to water.
Erna: 1d20 + 6 ⇒ (10) + 6 = 16
Mavin: 1d20 + 3 ⇒ (2) + 3 = 5
Targrenon: 1d20 + 9 ⇒ (9) + 9 = 18
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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"Good work!" Dorn bellows to Kaleena. Due to his raspy voice everything sounds like he's angry even when he's saying a compliment. He looks back to see Damiel getting closer.
"Lad-- catch the end of this! When Glorin gets to ya, he can hold it, and I'll hold the other end, so you and Therin can get across holdin' on to it, you follow?"
I had a better idea than tying to the beam. I will untie my rope and try to throw one end to land by Damiel's feet. If you want a roll for that:
Ranged Attack roll vs square AC of 5: 1d20 + 8 ⇒ (10) + 8 = 18

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Kaleena and Damiel successfully advance while Dorn throws Damiel the rope. Gerherd continues swimming.
Swim: 1d20 + 3 ⇒ (10) + 3 = 13
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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My bad Kaleena, you did manage to fetch the flag
Therin's roll: 1d20 ⇒ 15 While holding the rope Therin progresses 10 feet.
Erna: 1d20 + 6 ⇒ (19) + 6 = 25
Mavin: 1d20 + 2 ⇒ (4) + 2 = 6
Erna reaches the pillar while her friend is struggling to climb back. Targrenon prepares to aid his friends up the cliff.
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

DamieI Morgethai |

Two round of successful half-speed move (of 15ft) should allow Damiel to move across the 25ft beam to the left side. Damiel will secure the rope to the post that the beam connects to so his teammate can make their way across with the rope.

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Dorn Acro vs DC 10: 1d20 + 5 ⇒ (13) + 5 = 18
Dorn crosses the rest of the way to the far side and holds or helps hold the rope for his allies, if he and Damiel got there together.

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Once she secures the flag Kaleena tries to join Dorn and Damiel on the other side...
Acrobatics: 1d20 + 11 ⇒ (6) + 11 = 17
"Wait for me you two" she calls out to them. "Has anyone seen Therin?"
She looks back to see where the others are...

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Kaleena, Dorn and Damiel are now on other side. Gerherd also makes it to base of pillar.
Gerherd' swim: 1d20 + 3 ⇒ (20) + 3 = 23
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Glorin holds his position. "Tie off your end of the rope, Dorn, I'll want the anchor point when I get across!"
He wraps his end of the rope tightly around his forearm, so he cannot drop it accidentally.

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"Over here! Climb the rope!" Targrenon yells to his team. Erna is first to climb. Mavin stubbornly tries to climb and reaches a foothold.
climb: 1d20 + 2 ⇒ (19) + 2 = 21
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Once Kaleena moves to the next obstacle she will look it over to see how best to negotiate it...
Perception: 1d20 + 9 ⇒ (18) + 9 = 27
"Well whattaya think about this here next spot?" she asks Dorn.

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Therin is halfway across the challenge.
A5: A pair of knotted ropes are secured above this 15-foot gap. A competitor can swing on the ropes with a successful DC 10 Climb check, or leap across the gap with a successful DC 15 Acrobatics check. On failure, character may fall into the water 20 feet below.
The flag hangs slightly below the bottom of the rope’s arc, and requires a successful touch attack against AC 20 to snatch midway through a character’s swing.
Gerherd couldn't get a good hold of rope.
Gerherd climbing: 1d20 + 2 ⇒ (1) + 2 = 3
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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"Like an anvil on a high shelf," Glorin sighs.
He checks that the rope is held tight around his forearm, and dives in the water after Therin.

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Would the rope he is holding give Therin any bonus to either his check or would it allow him to do a Reflex save to catch himself or anything? We spent a couple of turns' worth of actions setting up the rope, it'd be nice if it would give Therin any advantage here. I would assume at least it might be treated as the Aid action, though a +2 might not have stopped Therin from falling anyway.

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Certainly it helps. Let's say he gets a reflex save.
Reflex save: 1d20 + 4 ⇒ (16) + 4 = 20
Therin catches himself using the rope. Glorin, would you like to retcon?

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Therin regains his balance. Erna stays behind so Gerherd may climb up while Targrenon advances. Mavin couldn't reach top of pillar.
Targrenon's climb: 1d20 + 6 ⇒ (12) + 6 = 18
Mavin's climb: 1d20 + 2 ⇒ (7) + 2 = 9
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Kaleena takes a moment to back up and jump across the wide gap reaching for the flag as she leaps across... or falls down to the water if she fails...
Acrobatics: 1d20 + 11 ⇒ (13) + 11 = 24
Touch Attack vs AC 20: 1d20 + 7 ⇒ (9) + 7 = 16

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Huzzah re: the rope being useful!
Dorn figures that Glorin and Therin can make it across on their own and moves to the next obstacle to judge if there are any ways to help his team succeed at it. It seems the best way might just be to try for the flag.
He grabs the swinging rope and starts across.
climb vs DC 10: 1d20 + 11 ⇒ (4) + 11 = 15
At the bottom of the swing he bends down and tries to snatch the flag.
Melee attack vs AC 20: 1d10 + 10 ⇒ (1) + 10 = 11 Oh dear, lol

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Neither of you manage to grasp the flag. Gerherd finally climbs the rope Targrenon is holding.
Gerherd still trying to rise: 1d20 + 2 ⇒ (9) + 2 = 11
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Therin tries to ease his way across the beam.
shimmy: 1d20 ⇒ 9
i can't remember what type of roll..so modify it as needed...
edit...nope..don't think a base 9 is gonna do it...gonna try to catch myself again...
catch: 1d20 + 4 ⇒ (13) + 4 = 17

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"The other team's approaching fast, I'll carry you if I have to, we don't have much time!"
I'm just holding position until Therin crosses, or fails to and the other team reaches us. Then it's Plan B of diving into the water, grabbing Therin, and climbing the rope back up to the far shore.

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Therin catches himself as he nearly falls to water. Glorin decides to carry him. On the other team Erna follows Targrenon, who decides to take the longer route. Mavin climbs to top of pillar.
Erna's climb: 1d20 + 10 ⇒ (15) + 10 = 25
Mavin's climb: 1d20 + 2 ⇒ (15) + 2 = 17
Targrenon's acrobatics: 1d20 + 9 ⇒ (1) + 9 = 10
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Damiel swings across gap.
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Kaleena tries for the jump and flag again...
Acrobatics: 1d20 + 11 ⇒ (6) + 11 = 17
Touch Attack vs AC 20: 1d20 + 7 ⇒ (8) + 7 = 15
but fails yet again...

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I can't actually fail the DC 10 Climb check so I will just roll the attack roll part of things
Dorn swings back and tries again...
Melee attack vs AC 20: 1d20 + 10 ⇒ (14) + 10 = 24 Woo!

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Dorn snatches the flag. Gerherd makes it to the beams.
climb: 1d20 + 2 ⇒ (16) + 2 = 18
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

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Keeping the rope taut by wrapping it around his arm, Glorin keeps going across the balance beam.
Acrobatics: 1d20 + 2 + 1 ⇒ (5) + 2 + 1 = 8
"Hold on, Therin," he cautions, "It'll be easier if I just climb up for us."

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With help of rope Glorin reaches the beam carrying Therin in his back. Erna and Targrenon successfully balance the beam while Mavin closes gap to her friends with lucky jump.
A6: An array of spinning, wooden dummies crowds this 30-foot stretch of the course. A successful DC 14 Acrobatics check allows a competitor to move through this area at half speed, or a successful DC 19 Acrobatics check allows movement at full speed.
The flag is lashed to the central dummy; a character can remove the flag with a successful DC 20 Sleight of Hand check or steal combat maneuver check.
Erna: 1d20 + 7 ⇒ (14) + 7 = 21
Targrenon: 1d20 + 9 ⇒ (3) + 9 = 12
Mavin: 1d20 + 3 ⇒ (18) + 3 = 21
Bolded can act
Erna S
Targrenon R
Mavin M
Kaleena
Dorn
Damiel
Gerherd
Glorin
Therin

DamieI Morgethai |

Acrobat: 1d20 + 13 ⇒ (20) + 13 = 33 Damiel get to the central dummy and...
CMB: 1d20 + 3 ⇒ (4) + 3 = 7...is not able to remove the flag

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After seeing Dorn snag the flag Kaleena jumps back over to the other side to continue to the next obstacle...
Acrobatics: 1d20 + 11 ⇒ (12) + 11 = 23
She then moves through the wooden dummy crowd...
Acrobatics: 1d20 + 11 ⇒ (20) + 11 = 31
and reaches for the flag on the central dummy...
Sleight of Hand: 1d20 + 8 ⇒ (16) + 8 = 24
and now doesn't know what to do other than make her way through the obstacle to the end...

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Dorn grins happily with his victory. Rather than cross the chasm, hower, he doubles back to the others. For one thing, he doesn't want to leave his rope behind. As he moves, he shoves the flag somewhere for safekeeping.
Move to stow the flag, move on the map