Activity: Direction: Solve each problem. 1. A ladder 9 meters long is placed against the wall 2 meters away from its base. What is the height reached by the ladder? 2. A tower casts a shadow of 16 m at the same time that a 2.5 m post casts a shadow of 4m. How high is the tower? 3. Two vertical poles 20 m and 30 m high, are 60 m apart. A rope is to be attached from the top of one pole to a point on the ground halfway between the poles, and then to the top of the other pole. How long a rope is needed? 4. How tall is a flagpole if a 3-m vertical stick casts a 4-m shadow at the same time that the flagpole casts a 9-m shadow? 5. Estimate the distance across a lake If CD = 30m, DE= 20m, and AC = 60m given that line AB is parallel to line DE. E 3. Guide Questions a. How do you illustrate/draw each problem above? b. How did you apply your understanding of similar triangles and right triangles in real life situation? c. What are the concepts/processes to be remembered in solving problems involving similar and special right triangles?
