palmtreebruh11
contestada

You are driving up an inclined road. After 2.4km you notice a roadside sign that indicates that your elevation has increased by 160m. What is the angle of the road above the horizontal?

Respuesta :

Convert 1.7miles to feet  

1mile = 5280 feet  

1.7 miles x 5280 feet/1mile = 8976 feet  

Elevation = 520 feet  

Make a right triangle and mark the hypotenuse as the distance traveled and Line B as the elevation.  

Distance = A  

Elevation = B  

You'll get:  

sin <a = A / B  

sin <a =520 / 8976  

= inverse sine(sine^-1) 0.057  

=3.321  

hope this helps :)


AL2006

The 'slope' of the road is (rise between two points) / (hotizontal distance between the same two points).  Or (rise)/(run).  It's also the tangent of the angle between the horizontal and the incline.

In this problem, your 'run' is 2.4 km, and the 'rise' is 160 m.

The slope of the incline is (160) / (2,400) .

That's 0.0667 .

To answer the question, you need to find the ANGLE whose tangent is that same number.

If your calculator has ANY functions on it, then " tan⁻¹ " is the one you want.  Key in a number, and " tan⁻¹ " will give you the angle whose tangent is that number.

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