Name: Date: Period: Trigonometric Applications Unit 7/8 Homework Round all measures to the nearest ten-thousandth. 1. SOCCER A soccer player running forward at 8 meters per second kicks a soccer ball with a velocity of 30 meters per second at an angle of 25 toward the goal. What is the ball's velocity (speed and direction)? 2. AIRPLANES An airplane is traveling due east with a speed of 600 miles per hour. The wind blows at 85 miles per hour at an angle of 329. Find the plane's speed (magnitude) and angle of the flight (direction from its starting point) N 600 mph 85 mph wind3. DIRT BIKING Justin and Alex are trying to pull a friend's dirt bike out of the mud. Justin is pulling the bike with a force of 105 N at a 70 angle with the x axis while Alex is pulling the bike with a force of 125 N at a 55 angle with the x axis. What' is the magnitude and direction of the combined forces they exert on the motorcycle? 4. BASKETBALL With time running out in a game, Makayla runs toward the basket at a speed of 2.5 meters per second and from half-court, launches a shot at a speed of 8 meters per second at an angle of 36. What is the resultant speed and direction of her shot? 5. MEMORIAL The Vietnam Veterans Memorial in Washington D.C. is composed of two walls, each 246.75 feet long, which meet at an angle of 125.2. Find the distance between the ends of the walls that do not meet, to the nearest thousandth of a foot. 6. SHIPPING Two ships are 250 feet apart and traveling to the same port as shown. Find the distance from the port to each ship. 250 ft .. Nmmmwwm'wmwwwmwaamszw Ship A '39\" 41V Ship B y 7. CANOE RACE A triangular course for a canoe race is marked by buoys A, B, C. The distances between the buoys are: between A and B, 100 meters; between B and C, 160 meters; and between C and A, 220 meters. Find mAABC , to the nearest thousandth of a degree. 8. STREET LIGHTING A lamp post tilts towards the sun at a 2 angle from vertical and casts a 25-foot shadow. The angle from the tip of the shadow to the top of the lamp post is 45. Find the length of the lamp post. it? 9. MOUNTAIN TUNNEL To measure the distance through a mountain for a proposed tunnel, an engineer chooses a point P that can be reached from each end of the tunnel. He labelled the ends of the tunnel as points A and B. PA=3,7OO m, PB=2,900 m, and mAAPB 21100. Find the length of the tunnel, to the nearest thousandth of a meter