(Solved): Exercise 1 (Trigonometry) Solve the following: 1. Two radio towers are standing in a field. One is ...

Exercise 1 (Trigonometry) Solve the following: 1. Two radio towers are standing in a field. One is 123.2 feet tall. From a point part way up the second, it is observed that the angle of depression of the base of the first tower is 34°13', while the angle of elevation of its top is 51°35'. How far apart are the towers? 2. A plane is flying directly away from you at a height of 6996 feet. It is flying at a constant speed on a level course. At one time, you observe that the angle of elevation of the plane is 47?, while 2 minutes later it is 10°. How fast is the plane flying (in miles per hour)? 3. From one house you can go 1.68 km along a straight road to a corner and then turn and go 2.35 km along another straight road to a second house. The angle between the roads is 111°. There is a footpath that runs straight between the two houses. How much shorter is it to go on the footpath instead of the roads?