The chairlift at a ski resort has a vertical rise of 3200 feet. if the length of the ride is 1.2 miles, what is the average angl
e of elevation of the lift (to the nearest tenth of a degree)?
1 answer:
(see attached graphic)
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
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<em>New Fraction {Changed by Conversion} :</em>
Now that we've successfully done that we'll have to change the equation.
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÷ 
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<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
· 
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Now we multiply straight across.
<em>Old Equation :</em>
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<em>Solved :</em>
Almost done!
Now we have to simplify the fraction.
<em>Old Fraction :</em>
<em>New Fraction {Changed by Simplification} :</em>
Now just convert it to a whole number by removing the fraction line and the number, and that's it!
<span><em>So,
÷ equals</em></span> 15.
Hope this helps!
- Lindsey Frazier ♥
Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.
<em>Original Fraction :</em>
<em>New Fraction {Changed by Conversion} :</em>
Now that we've successfully done that we'll have to change the equation.
<em>Old Equation :</em>
<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
Now we multiply straight across.
<em>Old Equation :</em>
<em>Solved :</em>
Almost done!
Now we have to simplify the fraction.
<em>Old Fraction :</em>
<em>New Fraction {Changed by Simplification} :</em>
Now just convert it to a whole number by removing the fraction line and the number, and that's it!
<span><em>So,
Hope this helps!
- Lindsey Frazier ♥
Answer:
You can refer to the given attachment
