Trigonometry Applications and Challenge: Helicopter and Truck Problem
Explore trigonometry concepts, solve right triangles using trig ratios and the Pythagorean Theorem, find missing sides and angles, and apply trigonometry to real-life scenarios. Dive into trigonometry word problems, including angles of elevation and depression, and tackle a challenging problem involving a helicopter and a moving truck.
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Warmup Write each trig ratio as a simplified fraction and as a decimal rounded to the nearest hundredth. sinA cosB tanB
Find the missing sides
Solving Trigonometry Word Problems Applying Trigonometry to Everyday Life MGSE9-12.G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. I CAN: *Interpret problems with angles of elevation and depression. *Translate situations into trigonometric ratios. *Solve Problems using trig and inverse trig ratios, and the Pythagorean Theorem.
Solving Trigonometry Word Problems Applying Trigonometry to Everyday Life Steps: 1. Draw a diagram. 2. Label the diagram with side lengths and angles. 3. Set up the appropriate trig ratios. 4. Solve for the side or angle required. 5. Answer the problem being asked.
Solving Trigonometry Word Problems Applying Trigonometry to Everyday Life Angle of Elevation measured from the ground up. An upward angle from a horizontal line. It is always inside the triangle. Angle of Depression always outside the triangle. A downward angle from an imaginary horizontal line at the top.
CHALLENGE A helicopter is hovering 800 feet above a road. A truck driver observes the helicopter at a twenty degree angle. Twenty five seconds later the truck driver notices the angle of the helicopter is now at sixty degrees. How fast is the truck moving? Round your answer to the nearest foot. What is the truck s speed in miles per hour?
