93. Viewing angles for advertising: A 25-ft-widebillboard is erected perpendicular to a strai ghthighway, with the closer edge 50 ft away (seefigure). Assume the adverti sement on the billboardis most easily read when the viewing angle is 10.5°or more. (a) Use inverse functions to find anexpression for the viewing angle 0. (b) Use acalculator to help determine the distance d (totenths of a foot) for which the viewing angle isgreater than 10.5°. (c) What distance d maximizesthis viewing angle?nemleExercise 9350 ft25 ftair

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Asked Oct 16, 2019
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93. Viewing angles for advertising: A 25-ft-wide
billboard is erected perpendicular to a strai ght
highway, with the closer edge 50 ft away (see
figure). Assume the adverti sement on the billboard
is most easily read when the viewing angle is 10.5°
or more. (a) Use inverse functions to find an
expression for the viewing angle 0. (b) Use a
calculator to help determine the distance d (to
tenths of a foot) for which the viewing angle is
greater than 10.5°. (c) What distance d maximizes
this viewing angle?
ne
m
le
Exercise 93
50 ft
25 ft
air
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93. Viewing angles for advertising: A 25-ft-wide billboard is erected perpendicular to a strai ght highway, with the closer edge 50 ft away (see figure). Assume the adverti sement on the billboard is most easily read when the viewing angle is 10.5° or more. (a) Use inverse functions to find an expression for the viewing angle 0. (b) Use a calculator to help determine the distance d (to tenths of a foot) for which the viewing angle is greater than 10.5°. (c) What distance d maximizes this viewing angle? ne m le Exercise 93 50 ft 25 ft air

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Expert Answer

Step 1

To determine:

Part a) Expression for the viewing angle.

Part b) The distance d for which the viewing angle is greater than 10.50.

Part c) The distance d for which the maximize the viewing angle.

Step 2

Given:

50 ft
25 ft
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50 ft 25 ft

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Step 3

Formula Used:

...
Perpendicular
tan
Base
Perpendicular
D = tan
Base
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Perpendicular tan Base Perpendicular D = tan Base

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Calculus