[T] A local movie theater with a 30-foot-high screen that is 10 feet above a person’s eye level when seated has a viewing angle θ (in radians) given by θ θ = cot − 1 x 40 − cot − 1 x 10 . where x is the distance in feet away from the movie screen that the person is sitting, as shown in the following figure. Find d θ d x . Evaluate d θ d x for x=5, 10, 15 and 20. Interpret the result in b.. Evaluate d θ d x for x = 25, 30, 35 and 40 Interpret the result in d. At what distance x should the person stand to maximize his or her viewing angle?
[T] A local movie theater with a 30-foot-high screen that is 10 feet above a person’s eye level when seated has a viewing angle θ (in radians) given by θ θ = cot − 1 x 40 − cot − 1 x 10 . where x is the distance in feet away from the movie screen that the person is sitting, as shown in the following figure. Find d θ d x . Evaluate d θ d x for x=5, 10, 15 and 20. Interpret the result in b.. Evaluate d θ d x for x = 25, 30, 35 and 40 Interpret the result in d. At what distance x should the person stand to maximize his or her viewing angle?
[T] A local movie theater with a 30-foot-high screen that is 10 feet above a person’s eye level when seated has a viewing angle
θ
(in radians) given by
θ
θ
=
cot
−
1
x
40
−
cot
−
1
x
10
. where x is the distance in feet away from the movie screen that the person is sitting, as shown in the following figure.
Find
d
θ
d
x
.
Evaluate
d
θ
d
x
for x=5, 10, 15 and 20.
Interpret the result in b..
Evaluate
d
θ
d
x
for x = 25, 30, 35 and 40
Interpret the result in d. At what distance x should the person stand to maximize his or her viewing angle?
An auditorium with a flat floor has a large flat-panel television on one wall. The lower edge of the television is 44 ft above the floor, and the upper edge is 14 ft above the floor. Express θ in terms of x.
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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