Respuesta :
Using concepts of trigonometry, we got that 19.546 foot is distance from the base of the pole where the wire attached to the ground.
We know that height of telephone pole is given which is 25 foot.
It is asking for the length of the base.
So, we can use basic formula of trigonometry, we use tanθ as we are given length of perpendicular and it is asking for length of base.
=>tanθ=Perpendicular/Base
=>tan(52°) = 25/Base
=>Base=25/tan(52°)
Since, tan(52°)=1.279
=>Base=25/1.279
=>Base=19.546foot
Hence, if a wire runs from the ground to the top of a 25-foot telephone pole. the angle formed between the wire and the ground is 52 °,the distance from the base of the pole is the wire attached to the ground is 19.546 foot if we assume the pole is perpendicular to the ground.
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