✔ It is an imaginary straight line drawn from the observer's eye to the point being viewed.
Q2. Which angle is formed when looking up?
✔ Looking upwards from the horizontal creates the angle of elevation.
Q3. Which trigonometric ratio uses Opposite over Adjacent?
✔ The tangent function is defined as the ratio of the opposite side to the adjacent side.
Show transcript
[Slide 1] What is Line of Sight?
Imagine looking at a bird in the sky. The imaginary line connecting your eye to the bird is called the Line of Sight. We always measure angles relative to the horizontal ground level.
[Slide 2] Angles of Elevation and Depression
When you look up at an object, it is the angle of elevation. When you look down from a height, it is the angle of depression. Both use trigonometric ratios like tangent.
[Slide 3] Solving a Tower Problem
Let's solve a real problem. A tower casts a shadow of twenty meters when the sun is at thirty degrees. We need to find the tower's height using the tangent function.
[Slide 4] Calculating the Height
We know tangent thirty degrees equals one over root three. By cross-multiplying, we find the height equals twenty divided by root three meters. This gives us the exact answer.
[Slide 5] Common Student Mistakes
Students often swap the opposite and adjacent sides in the ratio. Also, remember to measure the angle from the horizontal line, not the vertical pole. Ensure your calculator is set to degrees.
[Slide 6] Key Takeaways
To recap, draw the line of sight and horizontal clearly. Identify the right triangle sides correctly. Then apply the correct trigonometric ratio to solve.