Could anyone help me with this

Mathematics

1 answer:

kati45 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

U can already eliminate C and D since the z needs to be with 2. A and B almost look the same but in the radicals the second number goes on top resulting in 5/6 which leads to A.

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Please answer NO LINKS PLEASE

Setler79 [48]

Answer:

123.38

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5 0

3 years ago

A boat is sighted from a 50-meter observation tower on the shoreline at an angle of depression of 4 degrees moving directly towa

MAXImum [283]

Answer:

5.76 km/h

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).

Tan = Opposite/Adjacent

tan(4°) = (height of tower)/(distance from shore)

tan(4°) = (50 m)/(distance from shore)

Then the distance from shore is ...

distance from shore = (50 m)/tan(4°) ≈ 715.03 m

At the second sighting, the distance from shore is ...

distance from shore = (50 m)/tan(12°) ≈ 235.23 m

So, the distance traveled in 1/12 hour is ...

715.03 m - 235.23 m = 479.80 m

and the speed in km per hour is ...

speed = 0.4798 km/(1/12 h) = 5.7576 km/h

The speed of the boat is about 5.76 km per hour.