The angle the 14 foot long wire must make with the gound is approximately 51 degrees.
A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.
Using cosine law,
17² = 14² + 22² - 2 × 14 × 22 cos C
289 - 196 - 484 = -616 cos C
-391 = -616 cos C
divide both sides by -616
cos C = -391 / -616
cos C = 0.63474025974
C = cos⁻¹ 0.63474025974
C = 50.59929658
C = 51 degrees.
Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.
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