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📈 Optional Mathematics - Class 10
Lesson 7 · Height and Distance

Height and Distance Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

Height and Distance

Angle of elevation · Angle of depression · Five worked problems

By the end of this lesson you can

👁️

Define the angle of elevation and the angle of depression

🔁

Explain why the two angles are equal

📐

Draw a diagram from a word problem

🧮

Use tan, sin and cos to find heights and distances

Looking up or looking down

⬆️Angle of elevation
Object above the eye
Line of sight rises above the horizontal
Looking at a treetop from the ground
VS
⬇️Angle of depression
Object below the eye
Line of sight falls below the horizontal
Looking at a bird from a roof

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Presenter notes: Today we find the height of things we cannot climb and the distance across things we cannot cross, using only an angle, one length and a right-angled triangle.