Respuesta :

Answer:

40.80 km

Step-by-step explanation:

Given: AP (opposite)= 33 km

        PB(adjacent)= 24 km

Now, finding the value of AB (hypotenous)

Using the pythagorean theoram to solve it.

[tex]AB^{2} = AP^{2} + PB^{2}[/tex]

⇒ [tex]AB^{2} = 33^{2} + 24^{2}[/tex]

⇒[tex]AB^{2} = 1089+576[/tex]

⇒[tex]AB^{2} = 1665[/tex]

Taking square root on both side, remember; [tex]\sqrt{x^{2} } = x[/tex]

⇒[tex]AB= \sqrt{1665}[/tex]

∴ AB= 40.80 km

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