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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 straight line for 200 m, how deep is it?
Solution:
The whale moves in the form of a right-angled triangle
The angle of deviation = 20°
From the trigonometric ratio, we know that
sinФ = perpendicular side/hypotenuse
Hypotenuse = 200 m [Given]
Substituting the values
sin 20° = depth/ 200
By further calculation
Depth = sin 20° × 200 = 68.404 m
Therefore, the depth is 68.404 m.
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 straight line for 200 m , how deep is it?
Summary:
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 straight line for 200 m, it is 68.404 m deep.
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