Respuesta :
Answer:
17.32m
Step-by-step explanation:
The shape formed by the arrangement between the pole, the ground and the wire is that of a right angled triangle.
Given that the cable forms 60° with the ground, the Pole is the opposite side of the triangle, the ground is the adjacent and the length of the supporting cable is the hypotenuse side.
Using the SOH CAH TOA notation, let the length of the point of attachment of the pole to the cable be x
Sin 60° = x/20
x = 20 Sin 60°
= 20 * 0.8660
= 17.32m
The height of the pole which the cable would be attached is 17.32 m
The illustration will form a right angle angle triangle.
Therefore,
The length of the cable is the hypotenuse of the triangle .
The ground level is the adjacent side.
Using trigonometric ratio,
sin 60° = opposite / hypotenuse
sin 60° = h / 20
cross multiply
h = 20 × sin 60°
h = 17.3205080757
h = 17.32 m
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