Analyze and solve the problems below. Provide justifications to your answer.
1.) Jeff, lan and Axel want to play "pass the ball game. The mechanics is just passing the ball from each other in a systematic way. However, Jeff wants to be the first to initiate in passing the ball to lan and wants to stand 15 meters apart from lan and 18 meters apart from Axel. What do you think are the possible distances between Axel and lan and who do you think has the disadvantage of catching the ball?
2.) As an interior house designer, Joshua designs his own kitchen by drawing a triangle and placing an appliance at each vertex. If the distance from the refrigerator to the sink is 7 feet and the distance from the sink to the range is 6 feet, what do you think are the possible distances between the refrigerator and the range?
3.) Marites is picking mangoes from the tree on her backyard same with her neighbor, Nena. Since their mango trees are full of red poisonous ant they cannot climb to the tree and used only a pole with a hook attached on one end. Both of their trees are 13 feet standing from the ground and they are both standing 7 feet away from their trees. Marites used a 15 feet pole and lift it at 60° from the ground where she's standing while Nena lift her pole at 50⁰ from the ground. What do you think are the possible lengths of Nena's pole?
4.) As a florist, Nora designs her mini backyard with flowering plants including her one and only orchid. Since the dead tree is located at the center of her mini backyard she chose to hang there the orchid and place two of her flowering plants on two small tables from each side of the dead tree which forms a triangle. Suppose the angle formed from the flowering plant on the right side is larger than the angle formed from the left side, what can you conclude regarding the distance of the two flowering plants to the orchid hanging on the dead tree?
