AN: Here's the rest of chapter four, but consider it chapter five. Please review!

"Yes well um... Let's... get this started shall we?" she said, her voice shakier than she would have liked.

Hans met her eyes shyly, locking them in place. Their breaths hitched. "Of course."

"Alright then." Elsa awkwardly cleared her throat, though the tension had definitely lightened. She finally composed herself, gathering all thoughts and emotions. Conceal, don't feel. Don't let it show. She laughed lightly. "Sorry about all that confusion, but you're now in the perfect spot." She smiled. "Look at your shadow.

Hans looked down and noticed that his shadow... was there. Nothing too special. "What exactly am I supposed to be seeing?" he asked, adorably scratching his head and chuckling slightly.

Elsa smiled mischievously. "Oh, just your shadow." She then reached behind her head and slowly undid her bun, carefully pulling out the ribbon that had held it in place. Her hair fell in beautiful loose curls all the way to her waist, framing her face perfectly. Han's eyes widened.

"What?" Elsa asked, cheeks aflame yet again. She shyly tucked a stray strand behind her ear.

"Your hair. You look..." Beautiful. "Nice."

"Oh uh thank you," she said blushing lightly. "I actually only needed the ribbon. It is exactly one foot in length for measuring convenience."

"You're not gonna actually attempt to measure the tree with that are you?"

Elsa sighed, a hand pressed to her forehead. "If all men are truly alike, hope for the future had truly dissipated."

"Well excuse me for questioning something that makes absolutely no sense." Hans huffed and crossed his arms.

Elsa rolled her eyes. "You're not aware of proportions are you?"

Hans scratched his head. "Uh, I'd be lying if I said I was."

Elsa giggled. "Well that's why this make no sense. Let me teach you. A proportion is like a relationship or similarity between the comparison of usually two thing. They match up. Like how one's body parts are proportional."

"Alright that makes sense."

"In this case, your shadow is proportional to that of the tree meaning that-"

"My height is as well."

Elsa beamed. "Exactly."

"So if you measure my shadow and compare it to the tree's, then-"

"It's scale factor would be equivalent to that if the heights!"

"Sorry to ruin the moment Elsa but, uh, you sorta lost me at scale factor."

Elsa frowned. "God, you have so much to learn. All in good time. Let's get these measures first."

She gracefully picked up her skirts and got on her knees next to his shadow, bending down to match up the ribbon. Han's mouth went dry, eyes widening. He had an absolutely perfect view. Hans respected Elsa more than he had any woman before, but he was still a man and couldn't help but stare.

"Finished." She stood up and got a small notebook and a pre filled ink pen out of the folds of her dress. "Your shadow is 7 and a half feet long," she mumbled, quickly jotting it down. She looked up to see Hans's dis shelved state. Elsa raised her eyebrow.

Hans quickly composed himself, knowing it would be a long day if every little thing was going to get to them. "What?"

She shook her head. "Nothing."

"Do you know your height?" she asked, stepping towards him.

"Devastatingly tall," he answered, wiggling her eyebrows.

Elsa rolled her eyes, not able to contain her smile. She was getting used to his harmless flirting. She even found it... charming.

"Alright Romeo," she laughed. "Stand straight up and don't move. She stepped towards him, suddenly very aware of their closeness. Yay. Today was just overflowing with sexual tension. Great.

"Right then." She bent down once again to start from his feet. As she progressed upwards, Hans couldn't help but observe how beautiful she truly was. Her dress hugged her light curves perfectly, though Hans suspected it could be tighter. He smiled. She was modest. Her neckline also told him so. She was now fully facing him. His breath caught. A single strand of hair fell across her face and he instinctively reached out to move it, reaching back last minute. He cleared his throat.

"My... height. You have the measurement?" he stepped back back.

"Oh uh yes. Six feet exactly."

"Great. Now for the shadow of the tree."

They both looked back to see the long black silhouette. Elsa sighed and looked back towards him. "That... may take a while." They both laughed.

After a good twenty minutes on her knees, Elsa finally found the shadow to be about sixty four feet. "Finally," she sighed, exhausted. "Come on Hans. Let's teach you some math." She grinned mischievously.

Elsa walked towards the tree, sitting gracefully beneath it. "Well come on then," she said, patting the ground beside her. "And grab the books."

Hans obliged and sat down beside her. Her gloved hand brushed his as she took the books from him. It was cold. He didn't mind.

She picked out a mathematics book and put the rest down, flipping to a page labeled "proportions". Elsa took out her notebook and pen, rewriting the measures as set up proportions, labeling the tree's height as "x". She taught Hans all he needed to know and he just smiled at her happiness and enthusiasm. They progressively moved towards each other, not realizing that they were now shoulder to shoulder, Hans's hand resting comfortably beside her hip. She helped him through the arithmetic and they soon found the tree to be about fifty five feet, a perfect estimation. Overcome with joy and triumph, Elsa hugged Hans in delight. She pulled back slowly and they eyes locked. They both smiled shyly.

Elsa sighed and closed her eyes, leaning back against the soft bark of the tree. Hans smiled at her before resting his hand behind his head, leaning back as well. He watched her open her eyes.

"I've had an amazing day," he finally said.

She turned around to look towards him and smiled. "Me too." Elsa sighed, suddenly frowning.

"What's wrong?" he asked.

"Oh nothing. I just wish everyday could be as eventful. I don't really do much. Or talk much to be honest. I'm not exactly... approachable."

"That's horseshit! You're incredible Elsa."

She laughed. "Foul mouthed, are we?"

"Eh. It's one of many flaws."

"You say that as if you're proud of it."

"It's who I am. It's who I've grown up to be. The sooner I accept myself, my life, the better."

A thoughtful look crossed her features. "You're... right."

"Of course I am!"

Elsa rolled her eyes. "Cocky too."

"It's charming." He grinned, faux arrogance in his movements.

Elsa laughed, pushing him back. She stood up, Hans following suit.

"Come on. It's getting late."

They made their way through the forest, seeking the way out. As the marketplace came into view, Hans stopped Elsa. "Wait here. I'll be right."

He ran off before she could question his motives. A few minuted later, Hans returned carrying a bag of bread. He handed it to her. "So you can avoid that lecture."

Her heart fluttered at his thoughtfulness. She smiled at him. "I can't accept Hans. I should've been more responsible."

"We a need a break from responsibility once in a while. Please, I insist."

"I can't take your money like that."

"Pay me back the next time we meet." He winked at her.

"How about in three days, same time? I have a few errands again."

"I'll see you at the bookshop." He grinned charmingly before kissing her cold gloved hand. Elsa blushed furiously.

"Util then."