a submarine at the surface of the ocean makes an emergency dive, it path making an angle of 30 degree with the surface.if it goes 300m long its downward path , how deep will it be?
Answers
The submarine after making an emergency dive at an angle of 30 deg with the surface will be about 150 m deep.
Step-by-step explanation:
Referring to the figure attached below, let’s make some assumptions,
x = BC = the depth of the submarine from the surface of the ocean
∠BAC = 30° = angle made by the path covered by the submarine with the surface of the ocean
AC = 300 m = the distance covered by the submarine along its downward path
Now, in ∆ ABC, by applying the trigonometry ratios of a triangle, we get
sin θ = perpendicular/hypotenuse = BC/AC
⇒ sin 30° = x/AC
⇒ sin 30° = x/300
⇒ x = 300 * sin 30°
⇒ x = 300 * ½
⇒ x = 150 m
Thus, the submarine will be 150 m deep.
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