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
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.