the sonar of a navy cruiser detects a submarine that is d=4601 ft from the cruiser. the angle between the water level and the submarine is 0=32 degrees. What formula should I use to solve?
depends on what you want to find.
The depth of the sub is
d/4601 = sin32°
Looks like you need to review your trig ratios
Thanks Steve, taking a physics course for credit this summer, but I am going in to 9th grade and have not had trig yet. Thanks for the formula!
To solve this problem, you can use the formula for finding the distance between two objects using trigonometry. In this case, you have the distance (d) between the navy cruiser and the submarine, and the angle (θ) between the water level and the submarine. You can use the trigonometric function known as tangent (tan) to solve for the unknown side, which is the vertical distance between the water level and the submarine.
The formula you can use is:
y = d * tan(θ)
Where:
- y represents the vertical distance between the water level and the submarine.
- d represents the distance between the navy cruiser and the submarine.
- θ represents the angle between the water level and the submarine.
Now, you can substitute the given values into the formula and calculate the vertical distance (y) between the water level and the submarine.