yemsrach woubbie
To estimate the angular size,teta, of a person standing across the room, as seen by me, what I have to do is : teta = S/R; where, -teta is the angular distance in radian measured,i.e, {(degree measurment)*(pi/180)} as seen by me -S is the total height of the person, and -R is the distance between the person and me.
Wanapon Techagaisiyavanit
The radian measurement requires the person's height(S),
the distance(R) from the point where we look at the
person. since angular size = the person's height/the
distance My friend is 1.68 m. tall and she is 2.1 m.away
from me. The angular size = 1.68/2.1 = 0.8 radians
ingrid e. frau
the angular size is equal to the arc divided by the
radian. my dad is about 30 feet away from me, so that's
the radian. he is about 5 foot 9 inches so that's the arc
size. it comes out to .17899 in radians which is about 18
degrees.
sarah fraser
The angular size in radians of the person standing 54"
from me with a width of 18" is easy to find. I set up a
triangular scale and mutilpe opposite over adjacent, which
equals the tan so you would solve by doing the inverse
sign of tan, 9/54 and you would have your answer.
collin hull
use the equation x=s/r. say the ditance across the room
is 20 ft(r). the width of the person is about 1 ft(s). so
the angular size is 1/20. or something...i really don't
know how to convert everything into the right units
(radians).
Bushra Husain
You have to find the distance between the two people, for
this purpose we'll label it Z. Then, find the height of
the person, also for this purpose we'll label it X. To
find the angle, you would find the tangent angle=Z/X. This
will give you the angular size in radians.
saima
The angular size, in radians, of a person standing
directly across from me would differ from a person
standing across, at an angle. If I take myself as person X
looking at person Y, I would be forming a kind of
triangle. As the measurement from my foot to the top of
their heads- would be the hypoteneuse. Measuring along the
base- of both our feet - would be the adjacent measure of
the angle. And the height of the person would be the
opposite angle to mine. Therefore, to find the angular
size in radians one would have to know tangent of the
angle, which is opposite / adjacent. The measure of the
adjacent angle would be 180 degrees (as the person is
standing opposite to me), and the measurement of the
person's 90 degrees position. After dividing one would
determine the right answer.
Marium Khan
The angle from where I stand to that of the person across
the room will vary according to their height compared to
mine. It will form a right angle triangle, with the
ditance between me and the person forming the adjacent
side of the triangle, their height difference forming the
opposite side, and the length from my feet to their head
would be the hypotenuse. The angle can be calculated as
tan= opposite/adjacent.
Alia Rahman-Khan
angular size (x)= side/radians = sinx/cosx To find the
angular size in radians of a person that would be standing
across the room from me, I would first make an imaganary
right angle triange. Thereby, I would measure the distance
between her and me as the radians (would be the radius in
a circle) and the would mark the distance from me to the
top of the imaginary right angle triangle as 's' for side.
I would then take the sin of the side and devide it by the
cosine of the radians. By that I would be able to to get
the measurement of the angle.
stephanie rivera
what i did was make the distance between my friend and I
into a right angle. From the floor to my friends head is
the hypotenuse and my friends hight is the opposite angle
and the distance between my friend and I is the adjacent
angle. then i said that arc tan = opposite/adjacent (5.5
{her height} / 6 {distance between her and I}) this gave
me an answer of .236 pie
hilary moore
if an individiual is standing 6 feet (72 inches) away from
me, and they appear to be 5'2" from where I am standing,
then you can calculate the angle by plugging in to the
following equation: tan(angle in
degrees)=opposite/adjacent. tan(angle)=62/72=.8611111. The
inverse tan of this is 40.7 (roughly 40 degrees), and the
radian angle of 40 is (2*pie)/9
Youngshin Cho
if i want to know the distance between my friend and i, i
only have to measure the distance between us. and the
angular size made between me and my friend,measure that.so
the radian is distance/the angular size
Anuradha Tulachan
let the person be at a distance of 2m across the room. The
linear size, S, would be the height of the person, say,
1.6m. The R in this case would be 2*2+1.6*1.6=10.24(m).
therefore, angular size would be
1.6/10.24degrees=0.156degrees=0.156*3.14/180=0.0027
radians.
Claire
Using the S=theta*R equation for arc lenth, I would
estimate the person's height in feet. I would approximate
his or her height to be equal to the arc length S on an
imaginary circle in which I am the center and the radius
runs from me to the person standing across the room. I
would then estimate that radius and plug the two values in
to the equation. For example, if the person is about 5
feet tall and the distance separating us is 20 feet, I
would plug those values in: 5=theta*20 and solve for
theta. My estimate for angular size in radians would
therefore be .25.
Melanie LaFavre
Lets say that the person across the room is 15 feet away
(the length of my room) and the person is 5'6" my roomates
hieght. The angular size is the arc length (Lillan's
hieght) over the radius (length across the room). To put
it into radians we multiply 15 by pie over 180 deg. or one
resulting in. 252.1014 radians
n. abimbola sunmonu
angular size, theta = length of arc/radius of circle = 4
feet/16 feet = 0.25 radians
Anonymous
The angular size of person is based on linear size (S)
over distance (R). If I have a linear size S and I
multiply by the distance x phi over degrees, I should get
the radian measure. I'm not sure if that's right at all,
but I haven't quite figured it out yet.
Katie
If she is ten feet from me, and she is 5.75 feet tall her
angular size would be found as follows: Angular size =
S/2R = 5.75/20 = .2875
Mark
If you are 5 feet tall, and standing 15 feet away from me,
then your angular size, as seen by me, in radians, is
about 5/15=0.33. Radian measure is, as this example shows,
very easy to use, much more intuitive in some situations
than degrees. Using the conversion factor 180/pi we can
find that your angular size, from where I am, is about 19
degrees, but this is not a very natural measure here.