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After walking due east, then turning and walking due south, a hiker is 4 km, 148° T from her starting point. Find how far she walked in a southerly direction, correct to one decimal place.​

After walking due east then turning and walking due south a hiker is 4 km 148 T from her starting point Find how far she walked in a southerly direction correct class=


Answer :

olumideolawoyin

Answer:

3.4km

Step-by-step explanation:

Please find the attached.

The angle between the line joining the starting point with position and the line due East is 58⁰ ( 90⁰ - 32⁰).

Let x be how far she walked in a southernly direction.

Using Trigonometric ratio ( SOH CAH TOA),

[tex]sin \: 58 = \frac{x}{4} [/tex]

x = 4sin 58⁰

x = 3.3922km

x = 3.4km to one decimal place.

Therefore, the distance hse walked southernly direction is 3.4km.

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