Answer:
- The distance between the poles is approximately 15.2 m.
Step-by-step explanation:
Given
- Two poles of 25 m and 30 m height,
- Distance between tops of the poles is 16 m.
To find
- The distance between the poles
Solution
The distance between the poles is the segment d which connects the top of the shorter pole with the point at 5 m from the top of the longer pole, which is the difference of lengths of poles.
The three points form a right triangle, with hypotenuse of 16 m, and legs 5 m and d.
Use Pythagorean to find the value of d:
- [tex]d=\sqrt{16^2-5^2} =\sqrt{256-25} =\sqrt{231} =15.2[/tex] m (rounded)
