???? Welcome to @aprendematematicasfacil, your easy trigonometry channel ???? In this video, we explore vertical angles in depth. This is a comprehensive guide designed to help you master the theory and practice of vertical angles. Whether you're a student, teacher, or just someone interested in trigonometry, this video is for you. Video content: Definition of Vertical Angles: Clear and concise explanation so you understand the basic concept. What is a visual line and a horizontal line. 13 Step-by-Step Solved Exercises: We take you by the hand through a series of practical exercises, explained in a detailed and easy-to-follow manner. What you'll learn: How to identify vertical angles in different figures. Practical application of vertical angles in trigonometry problems. Tips and tricks to solve vertical angle problems efficiently. ???? Don't forget to subscribe to @aprendematematicasfacil and activate the notification bell so you don't miss any new content on trigonometry and mathematics. Give it a like ???? if you like this video and leave us your comments or questions, we are here to help you. 00:20 Vertical angles 01:41 Angle of Elevation 02:16 Angle of Depression 02:41 Exercise 01: At a distance of 20 m from a pole, its top is observed with an elevation angle of 37º. Determine the visual. 04:47 Exercise 02: A person 2 m tall sees the top of a 32 m high tower with an elevation angle of 15º. He approaches a distance "x" and the elevation angle doubles. How much is "x"? 08:46 Exercise 03: From a point on Earth, the top of a pole is seen with an elevation angle "α". When the distance between us and the pole has been reduced to one third, the elevation angle doubles. What is the value of α? 11:43 Exercise 04: From a point on Earth located 12 m from a building, its highest part is seen with an elevation angle “α”. If: tan α = 3/2. How tall is the building? 13:26 Exercise 05: A person “h” tall observes a building “H” tall with an elevation angle “α”. Determine the distance between the person and the building. 15:48 Exercise 06: From a point on Earth, the top of a building is located with an elevation angle “α”. We approach a distance “d” and the elevation angle would be “β”, find the height of the building. 18:28 Exercise 07: From the top of a cliff, two objects are seen on the ground with an angle of depression “α” and “β” If the distance between said objects is “d”. What is the height of the cliff? 21:39 Exercise 08: A girl who is 1.5 m tall sees a stone on the ground with an angle of depression of 37º. How far is the stone from the child? 24:01 Exercise 09: From the top of a lighthouse, two anchored ships can be seen on the same side, with angles of depression of 53º and 37º. If the ships are separated by a distance of 14 m, what is the height of the lighthouse? 27:50 Exercise 10: From the top and bottom of a wall, the top of a post can be seen with angles of elevation of 37º and 45º respectively. If the distance between the wall and the post is 8 m, find the sum of their heights. 31:15 Exercise 11: From a point on Earth, the top of a building is located with an elevation angle “”, we approach a distance “d” and the elevation angle would be “”. Find the height of the building. 33:22 Exercise 12: From a point located 150 m from the beginning of an inclined road “θ” with respect to the horizontal, its highest part is seen with an elevation angle “α”, if: cot α – cot θ = 1/3 What is the height of the road? 36:47 Exercise 13: From a point on Earth, the top of a building is seen with an elevation angle “”, we approach a distance equal to twice the height of the building and the elevation angle is now “”. Calculate: L = cot - cot