✔ Alternate interior angles are equal when lines are parallel.
Q2. If height is 10m and angle is 45, distance is?
✔ Tan 45 is 1, so distance equals height.
Q3. Which trigonometric ratio connects height and ground distance?
✔ Tangent relates opposite (height) and adjacent (distance).
Show transcript
[Slide 1] Understanding Angle of Depression
Welcome students. We look down from a height to find distance. This angle is called depression.
[Slide 2] The Key Rule
The angle down equals the angle up from the object. We use tangent to connect height and distance.
[Slide 3] Worked Example Setup
Let's solve a problem. A tower is fifty meters high. The angle down is thirty degrees.
[Slide 4] Solving the Problem
We rearrange the formula to find distance. Since tan thirty is one over root three, distance becomes fifty root three meters.
[Slide 5] Common Mistake Alert
Many students mistake the slant line for distance. Remember, ground distance is adjacent to the angle.
[Slide 6] Quick Recap
Remember depression equals elevation. Use tangent for height and base. Always check your units carefully.