4.3.3 Journal: Law of Sines and Proofs-PLEASE HELP! I will mark brainlist
Student Conjectures: Two friends are trying to decide how long their ladder should be for the zip line they are building

2. Which ladder length would you pick? Why? (1 point)

3. What problems would you encounter if the ladder were too short or too long? (1 point)

Draw a Diagram:
4. What key details are given in the scenario? (1 point)


5. Complete the diagram by identifying the missing angles. Use the length of the ladder you chose for the missing length. (2 points total: 1 for each angle)-FIRST PICTURE

Make a Comparison:
7. Now let's complete a diagram for the other ladder length. (1 point)-SECOND PICTURE

8. Use the law of sines or trigonometric ratios to find each length. Round your answer to 1 decimal place. (4 points total: 1 point each)
a. The length of the zip line
b. The height of the point on the tree where the top of the ladder rests against it
c. The distance between the base of the ladder and the base of the tree
d. The distance between the base of the tree and the spot where the zip line is anchored in the ground


9. Based on the calculations you did using the law of sines, did you make a good choice for which ladder to use? Why or why not? (2 points)

10. How long should the ladder be if they want to use all the cable they have? Use the law of sines to find the length, L.(2 points)- THIRD PICTURE

11. The friends had so much fun that they are now thinking about going into business building zip lines. Analyze the concerns of a company that builds real zip lines. What issues would it have to deal with in real life that are different from those presented by the representations of triangles we have been looking at? (1 point)