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wires are attached to a pole to make it more secure. the diagram shows one of those wires having a length of 220 feet the angle of elevation from the ground to the top of the pole is 36 what is the height of the pole

Verified Answer :

in(36)=h/220ft
220ftsin(36) = h
h=129.3 ft

Answer:

The height of the pole 129.31 feet.

Step-by-step explanation:

Length of the pole = x

Length of the wire attached to the pole = 220 feet

Angle of elevation = \(\theta =36^oC\)

According trigonometric ratios::

\(\sin \theta=\frac{Perpendicular}{Hypotenuse}\)

\(\sin36^oC=\frac{x}{220 feet}\)

\(0.5877=\frac{x}{220 feet}(sin36^oC=0.5877)\)

x =129.31 feet

The height of the pole 129.31 feet.

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