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4 years ago

11

A whale comes to the surface to breathe and then dives at an angle of 20.0 ∘ below the horizontal. If the whale continues in a s

traight line for 200 m , how deep is it?

2 answers:

charle [14.2K]4 years ago

8 0

Answer:

It is 68.404 m deep.

Explanation:

The motion of the whale can be seen in the form of a right-angle triangle.

Angle of deviation = 20°

We know that, sinФ = Perpendicular/ Hypotenuse.

Here, hypotenuse = 200 m

Depth is perpendicular that we have to find.

sin(20°) = Depth/200

Depth = sin(20°) * 200 = 68.404 meters.

-Dominant- [34]4 years ago

5 0

<u>Answer:</u>

<em>The depth is 68.4 meters. </em>

<u>Explanation:</u>

In this question the whale rose to the surface of the ocean to breath and then dives into the ocean at an angle of 20° below the horizontal line. It then travels 200 m straight along this line. We have to determine the <em>depth of the ocean. </em>

The path of the whale forms the <em>hypotenuse of a right triangle</em> and the angle between the hypotenuse and base is given as 20°. Determination of sides or angles in a right triangle can be determines using trigonometry.

<em>sinθ = $\frac{(opposite \ side)}{hypotenuse}$ </em>

<em>opposite side = sinθ $\times hypotenuse$ </em>

<em>Here θ = 20° </em>

<em>sinθ = sin(20°) = 0.342 </em>

<em>opposite side= $0.342 \times 200 = 68.4 m$ </em>

<em>Hence the depth is 68.4 m. </em>

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Explanation:

a)

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b)

In order to find the angle, we just need to analyze the horizontal and vertical component of the final velocity of the proton.

The horizontal velocity is constant so it is:

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Solving for $v_y$ ,

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brainly.com/question/8960054

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