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Answer:
The distance of base of wire to the base of tower is 13.27 ft
Step-by-step explanation:
Given as :
The measure of wire connected between base ad antenna top = 20 ft
The wire is connected to the antenna on tower at height h = 15 ft above the ground
Let The distance of base of wire to the base of tower = x ft
Let the angle drawn on ground = Ф
Now, According to question
<u>In figure AOB</u>
Sin angle =
i.e SinФ =
Or, SinФ =
Or, SinФ =
Or, SinФ =
or, Ф =
∴ Ф = 48.5°
<u>Now, Again from figure</u>
Tan angle =
i.e TanФ =
Or, Tan 48.5° =
Or, 1.13 =
∴ x =
i.e x = 13.27 feet
So, The distance of base of wire to the base of tower = x = 13.27 ft
Hence, The distance of base of wire to the base of tower is 13.27 ft Answer
