At 1:00, the minute and hour hands form a 30º angle. What is the measure of the angle at 8:00, in degrees?
1 answer:
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Answer:
a ≈ 5.3
Step-by-step explanation:
Using Pythagoras' theorem
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 6² = 8², that is
a² + 36 = 64 ( subtract 36 from both sides )
a² = 28 ( take the square root of both sides )
a = ≈ 5.3 ( to the nearest tenth )
