Heights and Distances

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Explain the term 'angle of depression'.

The angle formed by a horizontal line and the line of sight down to an object.

If a person is standing 50 meters away from a building and the angle of elevation to the top is 30°, what is the height of the building?

Height = 50 × tan(30°) ≈ 28.87 meters.

What is the significance of a right triangle in heights and distances problems?

It allows the application of trigonometric ratios to find unknown lengths and angles.

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