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spin [16.1K]
2 years ago
6

Which expressions are equivalent to \dfrac{k}2 2 k ? start fraction, k, divided by, 2, end fraction

Mathematics
1 answer:
suter [353]2 years ago
6 0

Answer:1/2k and k ÷  2

step-by-step explanation:

yeet

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From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.
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Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is d_1 and it is given by

tan (61^o)= \dfrac{50}{d_1}

d_1=\dfrac{50}{tan (61^o)}

\boxed{d_1= 27.71m}

And the distance to the ship B is d_2 and is given by

tan (28^o)= \dfrac{50}{d_2}

d_2=\dfrac{50}{tan (28^o)}

\boxed{ d_2=94.04m}

Therefore, the distance d between the ships A and B is

d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}

In other words, the ships are 66 meters apart.

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