trigonometric function?

Question

The large hand of a big clock is 70 cm long. How many centimeters does its extremity move in 10 minutes time?

Answer 1

the length of the long hand is equal to the radius(r) of the clock.
therefore r=70cm
now perimeter = 2(22/7) r
= 2*22/7*70
=440cm
the distance travelled by the long arm in 1omin is 2/12*440
=73.33cm

Answer 2

Large hand of a clock is the Minutes hand.

Minutes hand moves 360 deg per 60 min ---> which means it moves 60 deg in 10 mins.

The distance traversed by the Extremity of the Minutes hand is the Perimeter of a Circle with radius 70cm, covered by the Extremity in 10 mins. (60 deg travel)

which is : 2*Pi*70*60/360 cm = 73.3cm

Answer 3

No need of trigonometry.
Let the distance covered be s cm.
radius=length of one hand=70 cm

angle subtented by the hand in 10 minutes=60 degrees
=pi/3 radians

so,s/70 = pi/3
or, s = (22*70) / (7*3) [taking pi as 22/7]
or,s= 73.333... cm
or,s= 73.33 cm

so, the extremity of the clock moves 73.33 cm in 10 minutes.

**however you need trigonometry if you want to calculate the displacement of the hand.

Answer 4

This is not a trig problem. The minute hand moves 60 degrees in ten minutes, so the amount of motion of the end is 60/360 x 2 x pi x 70 cm.

Answer 5

Given the length of the clock=70 cm
When it moves 10 minutes, the angle moved by the minutes hand is given by-
A=10/60*360 degrees
(60 is total minutes in an hour n 360 is the angle of a circle)
A=60 degrees

In radians 60 degrees=pi/3 radians

Now using the formula-
* ***********************Length of Arc*
* Angle(in radians)= -------------------*
* *************************** Radius***

Length of Arc=Angle(in radians) *Radius


The distance moved by extremity

=pi/3*70 cm
=73.27 cms

Answer 6

It is not connected with trigonometry. It is only geometry. The circumference of the circle of 70 C.M is the maximum movement for one circle .That is for 60 minutes. For ten minutes it will move for one sixth of the circle or the included angle will be 60 degree. The straight distance between those initial and final position will be equal to the radius of the circle that is 70 C.M. The radial distance it covered for 10 minutes is equal to 2x3.1423x70/6 C.M

Answer 7

Circumference of the clock circle is

2*pi*70 = 2*3.14*70 = 439,6 cm

The circle is divided into 12 arcs each representing 5 minutes. 10 minutes is two such arcs.

The answer is:

(439,6/12)*2 = 73,3 cm

Answer 8

There is a formula to measure it, using angle in radian.

Length of arc = radius (70 cm) * angle (10/60)°

1° = 60'
10'= 10*1/60
10'=1/6

radian = degree measure * pie/360°
" " = 1/6 * pie/360
" " = pie/2160

put it in uppermost formula
and do rest job yourself

Answer 9

Ans = 10 / 60 * pi * (2*70) = 70 / 3 * pi

Answer 10

the three uncomplicated trig purposes are sin, cos, and tan. think of a few precise triangle, with angles A, B = ninety ranges, and C. opposite those angles are the climate a, b, and c. Then sin(A) = a / b And cos(A) = c / b And tan(A) = a / c The "area" of a function is the numbers which you will positioned into the function. For sin, cos, and tan, you could put in any extensive type (any perspective). The area is -infinity to + infinity. The "variety" is the numbers which you get out of the function. sin(...) is often interior the variety -a million to +a million. cos(...) is often interior the variety -a million to +a million. tan(...) is often interior the variety -infinity to +infinity.