Answer:
The horizontal distance jade she covered is approximately 2.0 km.
Step-by-step explanation:
Let x be the horizontal distance,
Given,
Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal.
Thus, the angle between the horizontal and the direction of his walking = 9°,
The angle between the horizontal and vertical = 90°
By making the diagram of the given situation,
⇒ The angle between vertical and the direction of his walking = 180° - (9°+90°)=180° - 99° = 81°
By the law of sine,
[tex]\frac{sin 90^{\circ}}{2}=\frac{sin 81^{\circ}}{x}[/tex]
[tex]x\times sin 90^{\circ} = 2\times sin 81^{\circ}[/tex]
[tex]x=1.97537668119\approx 2.0[/tex]
Hence, the horizontal distance jade she covered is approximately 2.0 km.
