Angle of elevation — Geometry, what it means and where it is taught

The angle up from horizontal to a line of sight.

Taught in Geometry.

Where it is taught

Practise this idea

2 questions in the course bank use Angle of elevation, in Right Triangle Trigonometry.

Problem 1

A ramp rises 1.5 m over a run of 9 m. Find the angle of elevation to one decimal place.

Worked answer

9.5

tan θ = 1.59 = 0.1667

θ ≈ 9.5°

Problem 2

From a point 30 m from a tower, the angle of elevation to the top is 52°. Find the tower height to the nearest metre.

Worked answer

38

tan 52° = h30

h = 30 × 1.2799 ≈ 38 m

Elsewhere

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