Create a triangle, with the hypotenuse being 4800. The angle next to the hypotenuse is 69.3. If you use the formula arcsin(69.3) = x/4800, you'll find the horizontal distance that needs to be traveled. Divide that by 5 to find the total time it will take.
Willie L.
asked 04/25/20can you help please
An archaeological team is excavating artifacts from a sunken merchant vessel on the ocean floor. To help with the exploration, the team uses a robotic probe. The probe travels approximately 4,800 meters at an angle of depression of 69.3° from the team’s ship on the ocean surface down to the sunken vessel on the ocean floor.
a. If the probe travels horizontally at a speed of 5 meters per second, how long will it take for the probe to be underneath the ship?
2 Answers By Expert Tutors
Dr. Sherif N. answered 04/25/20
Educator, Coach and Mentor
the depth of the sunken ship H = 4800 meters
speed S = 5 m/s
angle of depression α = 69.3
sin α = 4800 / L
L = 4800 / sin α = 5131 meters
time = L / S = 5131 / 5 = 1026.25 seconds = 17.1 minutes
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