Question

what is the reflex angular difference between the hands at 7:22 hrs?
E
1. O 271 degrees
2. O 272 degrees​

Answer 1

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Let the height of the tree be y and width of the river be x and CD = 40 m

In ΔABD, tan 300 =

A

x

+

40

⇒ x+40 = y

√

3

………..(i)

In ΔABC,

tan 600 =

A

=

y

x

⇒ y = x

√

3

……………(ii)

Putting the value of y from (ii) to (i)

x+40= [x

√

3

]

√

3

= 3x

40 = 2x

⇒ x= 20

y = x

√

3

= 20

√

3

Height of the tree = 20

√

3

m

Width of the river = 20 m.

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Answer 2

Answer:

Reflex angular difference between the hands at 7:22 hrs is $271^{o}$

Explanation:

What is reflex angle ?

An angle that is more than 180 degrees and less than 360 degrees is referred to as a reflex angle. Reflex angles include, for instance, 270 degrees. There are several sorts of angles in geometry, including acute, obtuse, and right angles—angles that are less than 180 degrees.

The clock angle will be 30° for an hour. This is because 30 is equal to 360° divided by 12. As an alternative, see the hour hand moving at a speed of 0.5° per minute. You may use this information to calculate any angle or time period on an analogue clock.

Angle travelled by Minute hand in 22 minutes is = $22 * \frac{360}{60}$ =  $132^{o}$

Angle travelled by a hour hand in a minute is half degree.

Angle made by hour hand at 7: 22 hrs = $7 *5 *\frac{360}{60} + 22 *\frac{1}{2}$ = 210 + 11 = $221^{o}$

Difference in angle between hour and minute hand is =221 - 132 = $89^{o}$

Reflex angle is $360^{o}$- $89^{o}$ = $271^{o}$

To learn more about refex angle refer to :

https://brainly.in/question/11333953?referrer=searchResults

https://brainly.in/question/1804889?referrer=searchResults

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