with teacher Jay Vee Garalde (2).pptx
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The document provides examples of solving real-life problems involving right triangles using trigonometric ratios. It gives several word problems that require measuring angles of elevation or depression using a clinometer and then applying trigonometric functions like sine, cosine, and tangent to calculate missing lengths. One example calculates the height of a basketball hoop is a player measures the angle of elevation and knows the distance from their position.
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with teacher Jay Vee Garalde (2).pptx
- 1. with teacher Jay Vee Garalde
- 4. sin = opposite hypotenuse cos = adjacent hypotenuse tan = adjacent opposit e cot = adjacent opposite sec = hypotenuse adjacent csc = hypotenuse opposite O H A 慮
- 5. H O A 慮 USES TRIGONOMETRIC RATIOS TO SOLVE REAL-LIFE PROBLEMS INVOLVING RIGHT TRIANGLES (M9GE-IVE-1)
- 7. Ricci Rivero is a basketball player, after the breakup with Andrea Brillantes he decided to focus on practicing basketball. While shooting, the ball got stuck at the top of the ring. He stands 20ft away from the foot of the basketball goal. Using a clinometer, he measures the angle of elevation to be 46属. How tall is the basketball ring from the floor?
- 8. 46 属 20 ft x
- 9. 慮 = 46属 x= height of the basket ball hoop Therefore, the height of the basketball hoop is approximately equal to
- 11. To be safe, a 20ft ladder should not incline more than 70 angle with the ground. Suppose the ladder is leaned against a house at this angle, Find the distance from the base of the house to the foot of the ladder.
- 12. With the use of clinometer find the angle of elevation of the wall fan/monitor and the height of it from the floor.
- 13. Supposed you dropped a coin, and it rolls over away from you. Find the distance from its location to your position. Use a clinometer to measure the angle of depression.
- 14. Make a 1-2 minute/s Math Jingle on how you are going to solve problems involving right triangle.
- 15. A guest in a hotel sights the top and bottom of an office building from his rooms balcony.The office building is 200 m away from his hotel. If the guests see the top of the office building at a 25 angle of elevation and its base at a 40 angle of depression, how high is the office building?
- 16. A guest in a hotel, sights the top and bottom of an office building from his rooms balcony. The office building is 200 m away from his hotel. If the guests see the top of the office building at a 25 angle of elevation and its base at a 40 angle of depression, how high is the office building?
- 22. Solve and show your solution (10pts) Andrea wants to move on, so she decided to take a vacation in Batanes. On day one, Andrea is flying a kite whose string makes a 70-degree angle with the ground. The kite string is 65 meters long. How far is the kite from the ground?