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On her way home, Carrie must drive up a hill that has an incline of 5 degrees. If Carrie’s vehicle stops at an elevation 0.25 miles higher than where she started, how far did she drive up the hill?

Respuesta :

mathmate
Inclination = 5 °
Difference in elevation = 0.25 miles 
=0.25 miles.
Distance up the hill
= opposite / sin(angle)
= 0.25/sin(5°)
= 0.25/0.087156
=2.868 miles

Answer:

2.868 miles up hill

Step-by-step explanation:

We have the triangle in the attached image, applying trigonometry we have that

[tex]sin5=\frac{0.25}{x}[/tex]

solving for x

[tex]x=\frac{0.25}{sin5}[/tex]

x=0.25/0.087=2.868 miles

Ver imagen miguel9418

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