How do you find the angle of elevation?

Question

Answer 1

sin θ = 8/100 => 2/25

sin(θ) = 2/25

25 sin(θ) = 2

Solutions:

θ ≈ 6.2832 n + 3.0615, n element Z

θ ≈ 6.2832 n + 0.080086, n element Z

Answer 2

The gradient of a stretch of road is generally defined as the vertical height compared to the horizontal distance.

i.e. tanθ = 8/100 => 2/25

Hence, θ = 4.8°

However, some texts will define this as vertical height compared to diagonal run or distance.

i.e. sinθ = 8/100 => 2/25

Hence, θ = 4.6°

Note: Engineers and Surveyors will use the former

Note: In the UK if you see a sign that says ''1 in 10'' or 10% it means 1 vertical for every 10 horizontal

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Answer 3

8% = 2/25

sin(x) = 2/25

sin⁻¹(x) = 0.08

θ=4.58° or 5° Answer//

Answer 4

Comment : 8% = 8 / 100 = tangent of the angle