Assignment:
Q1. How many 8 letter arrangements can be made from the word RECYCLE?
Q2. In an experiment, a student is randomly selecting a letter from one of 4 boxes after selecting the first box at random. What is the probability the student will select the letter A?
Box 1 has letters S,O,H
Box 2 has letters S,O,H
Box 3 has letters C,A,H
Box 4 has letters T,O,A
Q3. A tree is growing perpendicular to the horizon on a slope with an angle of depression of 20 degrees below horizontal. the tree casts a 75 foot shadow down the slope. The sun has an elevation of 60 degrees above horizontal. What is the height of the tree?
Provide complete and step by step solution for the question and show calculations and use formulas.