Assignment: Read the following problem and its solution ANSWER THE QUESTIONS THAT FOLLOW IN COMPLETE SENTENCES AND PROVIDE THE CORRECT UNITS WHEREVER NECESSARV. EQUATIONS ARE NOT REQUIRED. One day we take a walk along the river. At one point in time we notice a rock directly across from you. After walking 100 feet downstream we now have to turn an angle of 45 with the river to be looking directly at the rock, How wide is the rivet? the rock Solution: From the picture, we see that this boils down to nding the length of a side of a right triangle. The angle that we know about is 45 and we know that the length of the side adjacent to the angle is 100 feet. We want to know about the length of the side that is opposite to the angle. a _ side opposite a _ m The tangent of an angle a is the ratio of the length of the opposite side to the length of the adjacent side i.e.ta.na = 3 W W a: t 45: '\"' 100 I \"m 5:100 So, the river is 100 feet across. Now answer the following question(s). 1. Name the trigonometric ratios that was/were used to evaluate the width of the river? 2. List the most common units angles can be measured in. 3. Consider the following gure: B Name the following relations a side opposite to angle a _ opp ' hypotenuse _ hyp side eminent to angle a. 7 Ldj h' hypotenuse 7 hyp hypotenuse _ m c. _ side opposite to angle a app d hypotenuse _ ' side adjacent to angle a ' adj 4. Consider the following gure: B. Name the following relations a side opposite to angle a _ opp ' side adjacent to angle a 7 ad] b side adiacent to angle a 7 all ' side opposite to angle a _ opp c. sina'csca =27 d.cosa-seca =7 5. Name the following relation: a. $7 + 1/ = 2' where x and y are legs ofa right triangle and z is the hypotenuse. Complete the following identities for the gure B. d. tana-Cota =7