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gulaghasi [49]
2 years ago
5

A man walked 50 m to the south, turned, walked 40 m to the west.

Physics
1 answer:
MaRussiya [10]2 years ago
3 0

Answer:

Direction is N 51.3° E

Explanation:

» From trigonometric ratios:

{ \tt{ \red{ \tan( \theta) =  \frac{opposite \: { \blue{(south)}}}{adjacent \: { \blue{(west)}}}  }}} \\  \\ { \tt{ \tan( \theta)  =  \frac{50}{40} =  \frac{5}{4}  }} \\  \\ { \tt{ \theta =  { \tan }^{ - 1} ( \frac{5}{4}) }} \\  \\ { \tt{ \theta = 51.3 \degree}} \\  \\ { \boxed{ \tt{ \: direction : \:{ \green{N }}\: 51.3 \degree \: { \green{ E }}}}}

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