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ioda
3 years ago
12

A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward p

oint A. What are the total distance and total displacement of the boat?
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0
Total distance =  sum of the distances run:60 km + 45km = 105 km

Displacement: difference between iniital position and final position: 0 + [60km - 45km] = 15 km 
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From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.

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Given values-

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⇒LN= LK + KN

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⇒LK²+MK²= LM²

⇒MK²= 12²-10²

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In Δ LMN

⇒LM²+MN²= LN²

Using the values of MN² and LN² from the previous equations

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⇒20s= 188-100

∴ s= 4.4

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