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The hands of the clock form an acute angle at 2 O'clock. Then the type of angle they form at 4 O’ clock?

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Acute

Right

Obtuse

Straight

answer is C.

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Detailed Solution

Given that,
Hands of the clock make an acute angle when time is 2 O’clock.
Now the angle made by the hands of the clock is given by

θ = 30 H − 5.5 M ⇒ θ = 30 × 2 − 5.5 × 0 ⇒ θ = 60 °

We know that the angle

60 °

is less than

90 °

, so the angle

60 °

an acute angle.

θ = 30 H − 5.5 M ⇒ θ = 30 × 4 − 5.5 × 0 ⇒ θ = 120 °

Here the angle

120 °

is greater than

90 °

, so the angle

120 °

is known as Obtuse angle. It can be clearly shown in the figure below.

https://www.vedantu.com/question-sets/777449b8-1594-46b1-b0c8-681e5860bf90185183631548251054.png

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