# 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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