The tangent of an angle is the ratio of perpendicular to the base. The angle will the guy wire makes with the ground will be 80.91°.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A tower, 50 feet high, is secured with a guy wire anchored 8 feet from the base of the tower.
The angle will the guy wire makes with the ground will be given by the tangent.
The tangent of an angle is the ratio of perpendicular to the base.
Then we have
tan θ = 50/8
tan θ = 6.25
θ = tan ⁻¹ (6.25)
θ = 80.9097
θ ≅ 80.91°
More about the trigonometry link is given below.
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