At 12:15, the end of the minute hand of a clock is 8 feet above the ground. At 12:30, it is 6.5 feet off the ground How long is the minute hand of the clock? And How high is the center of the clock from the ground

Respuesta :

Answer:

Length of minutes hand= 1.5 feet

Height of the center of the clock from the ground= 8 feet

Step-by-step explanation:

At 12:15, the end of the minute hand of a clock is 8 feet above the ground.

At 12:15 the minutes hand is making a radius along the diameter of the clock which means it is at the center of the clock. In other the center of the clock is 8 feet above the ground.

At 12:30, it is 6.5 feet off the ground .

This tells length of the minutes hand the clock which is the distance from the ground minus the distance off the ground

= 8-6.5= 1.5 feet

The center of the clock is 8 feet from the ground.

The length of the minute hand is 1.5ft, the distance of the center of the clock from the ground is 8ft

To solve this problem, we have to apply logical reasoning here.

Length of the Minute Hand

To calculate the length of the minute hand, we just have to subtract or find the difference between the minute and from the ground at 12:30 to the minute hand at 12:15.

This will give us

[tex]12:15 - 12:30 = 8 - 6.5 = 1.5ft[/tex]

Distance of the Center of the clock from the ground

The distance of the center of the clock from the ground can be gotten from the distance from the ground at 12:15. This is because at 12:15, the minute hand is at the same horizontal line with the center of the clock and this makes the distance of the center of the clock from the ground is 8ft.

From the above,

  • The length of the minute hand is 1.5ft
  • The distance of the center of the clock from the ground is 8ft

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