Respuesta :

Applying pythagorean theorem:-

[tex]\\ \sf\longmapsto 8^2-5^2=b^2[/tex]

[tex]\\ \sf\longmapsto 64-25=b^2[/tex]

[tex]\\ \sf\longmapsto b^2=39[/tex]

[tex]\\ \sf\longmapsto b=\sqrt{39}[/tex]

[tex]\\ \sf\longmapsto b=6.24[/tex]

Answer:

• from pythogras theorem:

[tex]{ \rm{ {c}^{2} = {a}^{2} + {b}^{2} }} \\ [/tex]

a → 5 km

c → 8 km

[tex]{ \tt{ {8}^{2} = {5}^{2} + {b}^{2} }} \\ \\ { \tt{ {b}^{2} = {8}^{2} - {5}^{2} }} \\ \\ { \tt{ {b}^{2} = 39}} \\ \\ { \tt{ \: b = \sqrt{39} = 6.2 \: km }}[/tex]

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