Awhale comes to the surface to breathe and then dives at an angle of 20.0 ∘ below the horizontal. if the whale continues in a straight line for 200 m , how deep is it?

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.

The depth is 68.4 meters.

Explanation:

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 depth of the ocean.

The path of the whale forms the hypotenuse of a right triangle 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.  

sinθ =

opposite side = sinθ

Here θ = 20°  

sinθ = sin(20°) = 0.342

opposite side=  

Hence the depth is 68.4 m.

answer: decibel

explanation:

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