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A car travels straight for 20 miles on a road that is 30° north of east. What is the east component of the car’s displacement to the nearest tenth of a mile?
A.) -17.3 miles
B.) -10.0 miles
C.) 10.0 miles
D.) 17.3 miles

Respuesta :

17.3 would be the correct answer.

Answer: The correct answer is option(D).

Explanation:

Distance travel by car in north of east = 20 miles

In a triangle ABC

[tex]Cos\theta =\frac{BC}{AC}[/tex]

[tex]Cos 30^o=\frac{\sqrt{3}}{2}=\frac{BC}{20}[/tex]

[tex]BC=17.32 [/tex]

The east component of the car’s displacement to the nearest tenth of a mile 17.32 miles.

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