Question

GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.

Answer 1

Answer:

26 degrees

Step-by-step explanation:

The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.

From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.

(soh cah toa)

$sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x$

Now, just plug in the 2 known values and solve for the unknown:

$sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039$

The angle is 26 degrees, and you can check that by doing it in reverse:

$sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44$