Answer:
[tex]x = 375.3[/tex]
Step-by-step explanation:
Given
See attachment for illustration
Required
Determine the horizontal distance
The horizontal distance is the distance between the technician and the base of the pole.
Represent this with x.
The relationship between x, 175ft and 25 degrees is represented as:
[tex]tan(25^{\circ}) = \frac{175}{x}[/tex] --- i.e. tan formula
Multiply both sides by x
[tex]x * tan(25^{\circ}) = \frac{175}{x} * x[/tex]
[tex]x * tan(25^{\circ}) = 175[/tex]
Make x the subject
[tex]x = \frac{175}{tan(25^{\circ})}[/tex]
[tex]x = \frac{175}{0.4663}[/tex]
[tex]x = 375.294874544[/tex]
[tex]x = 375.3[/tex] --- approximated
The distance is approximately 375.3ft
