   Chapter 8.2, Problem 77E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Loading Ramp A ramp 17 1 2 feet in length rises to a loading platform that is 3 1 2 feet off the ground (see figure). Find the angle (in degrees) that the ramp makes with the ground. To determine

To calculate: The angle of elevation θ when the height of ramp is 312feet and length of ramp is 1712 feet. Explanation

Given Information:

The provided figure,

Formula used:

Definition of sine function:

sinθ=yr

Where, x is the length of the side adjacent to θ, y is the length of the side opposite to θ, and r=x2+y2 is the length of hypotenuse which is not equal to 0.

Calculation:

Consider the figure,

Now apply sine on triangle ABC,

sinθ=ABAC

Substitute the value of, AB=312feet and AC=1712 feet in sinθ=ABAC

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