Respuesta :
Step-by-step explanation:
[tex] {a }^{2} + {b}^{2} = {c}^{2} \\ {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = {c}^{2} \\ \sqrt{289} = {c}^{2} \\ 17 = c[/tex]
[tex]H^2 = 15^2 + 8^2[/tex]Pigeon will fly the length of:
17 m
Find the distance
In the given Right-Angled Triangle Situation,
Distance between Pole base and Pigeon's Position on the ground [tex]= 8 meters[/tex].
This is the base of the triangle.
Height of telephone pole [tex]= 15 meters[/tex]
For Hypotenuse Solving,
by Pythagoras Theorem:
[tex]Hypotenuse^2[/tex] [tex]= Base^2[/tex] [tex]+ Height^2[/tex]
[tex]H^2 = 15^2 + 8^2[/tex]
[tex]H^2 = 65 + 225[/tex]
[tex]H^2 = \sqrt{290}[/tex]
∵ [tex]Hypotenuse = 17[/tex]
To learn more about 'Pythagoras Theorem' here:
brainly.com/question/18151335