A cable supports an upright pole standing on the ground. The cable runs from the top of the pole to a peg in the ground 7 m away from the foot of the pole. If the cable is 25 m long, the height of the upright tent pole is?
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Answer:
atanθ
Referring to the figure,
AB= pole,
AC= cable and
BC= distance between pole and cable =a
It is clear that ∠B=90
o
, ∠C=θ
∴tanθ=
BC
AB
=
a
AB
∴AB=atanθ
∴ Height of the pole is atanθ
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