   Chapter 8.2, Problem 73E ### 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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# Distance An airplane flying at an altitude of 6 miles is on a flight path that passes directly over an observer (see figure). Let θ be the angle of elevation from the observer to the plane. Find the distance d from the observer to the plane when (a) θ = 30°, (b) θ = 60°, and (c) θ = 90°. (a)

To determine

To calculate: The distance d from the observer to the plane for the angle of elevation 30°. Explanation

Given Information:

The provided figure shown is below,

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 θ=30°, AB=6 mi and AC=d in sinθ=ABAC

(b)

To determine

To calculate: The distance d from the observer to the plane for the angle of elevation 60°. (c)

To determine

To calculate: The distance d from the observer to the plane for the angle of elevation 90°. ### Still sussing out bartleby?

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