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- A point that moves on a coordinate line is in simple when its distance d from the origin at time t is given by either d=asintord=acost.In ΔJKL, the measure of ∠L=90°, LK = 65, KJ = 97, and JL = 72. What is the value of the sine of ∠K to the nearest hundredth?The temperature in a room of a nearby condominium can be modeled with the equation T=18+3sin(π/12(t−8)), where t is the number of hours past midnight. Ruth measures the temperature when t=21. To the nearest degree, what does she find? Do not include the units in your answer. NOTE: The angle is in radians.
- In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth?Pablo is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans to navigate to Island C, which is 14 miles away. Based on the figure below, at what angle θ should he navigate to go to Island C? Island C 14 mik 9 miles 13 miles Island A Island B Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a degree.A ship leaves a pier on a bearing of S 62° E and travels for 75 km. It then turns and continues on a bearing of N 28° E for 53 km. How far is the ship from the pier?
- A helicopter makes a forced landing at sea. The last radio signal received at station C gives the bearing of the helicopter from C as N 58.5° E at an altitude of a = 417 feet. An observer at C sights the helicopter and gives ∠DCB as 13.6°. How far will a rescue boat at A have to travel to reach any survivors at B? (See the figure below. Round your answer to the nearest 10ft.)You leave the entrance to a system of hiking trails and hike 2.3 miles on a bearing of S 31° W. Then the trail turns 90° clockwise and you hike 3.5 miles on a bearing of N 59° W. At that time: Solve, a. How far are you, to the nearest tenth of a mile, from the entrance to the trail system? b. What is your bearing, to the nearest tenth of a degree, from the entrance to the trail system?if someone flies a plane from an airport to a nearby airfield on a bearing of N8E at a rate of 33 9 mph for 3 hours. after landing to refuel they then fly on a bearing of N20W at a rate of 467 mph for 4 1/2 hours . how far away are they from their starting point . To the nearest mile 
- After a force landing a airplane pilot radio her position to a pair of radar stations located 75 miles apart along a straight road running north and south. The beating from one station is N34 degrees 15' E and rhe bearing from the other station is S27 degrees 40'E. Based on this information, how far is the pilot from the road?The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 33 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)From Pine Knob: kmFrom Colt Station: kmThe voltage, E, applied across an inductor with inductance L is given by E = LdidtWhere i is the current through the inductor.For i = t e−tand L = 5 × 10−3, find E.