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Answer: 12:55 is the answer
Step-by-step explanation:
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The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.
The trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .
From the given information, the following pictorial representation can be made.
The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-
[tex]x=6sin30\\x=3\text{ft}[/tex]
Now, from the figure,
The height of the center of the clock above the ground is-
d=6+(55-3-6)
=52 ft
Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]
Learn more about trigonometric functions here-
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