Solve the following triangle. Show all work. Then organize all of your answers at the bottom of the problem. Round decimals to the nearest hundredth. Triangle ABC with B = 10°, C = 135°, c = 15

Use the Distance Formula to find the distance between the points (4,5) and (3,4). Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed.

Environmental Science The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 E from Pine Knob and S 70 E from Colt Station (see figure). Find the distance of the fire from each tower.

Tristan spots a green hot air ballon due east from him at an angle of elevation of 25° at a festival. He turns due west and sees a blue hot air balloon at an angle of elevation of 60°. If the altitude of the green balloon is 345 meters, and the altitude of the blue balloon is 675 meters, and Tristan is 1.8 meters tall, find the 11. distance between the balloons. Round answer to nearest whole number. Show all work