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2 years ago

7

Which of the two numbers is a better estimate for the square root of 12? Explain.

1 answer:

valentina_108 [34]2 years ago

5 0

Answer:

3 < square root of 12 < 4

Step-by-step explanation:

When estimating square roots find the closest perfect square.

So the previous root of 12 is √9 because it is 3, and the next root is √16 which is 4.

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A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m

Alex73 [517]

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

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2 years ago