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.
Answer:
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 = [tex]\frac{(opposite \ side)}{hypotenuse}[/tex]
opposite side = sinθ[tex]\times hypotenuse[/tex]
Here θ = 20°
sinθ = sin(20°) = 0.342
opposite side= [tex]0.342 \times 200 = 68.4 m[/tex]
Hence the depth is 68.4 m.
