The letters that are in bold in brackets correspond to your PIN. The first digit
ID: 3014068 • Letter: T
Question
The letters that are in bold in brackets correspond to your PIN. The first digit is [a], the second digit is [b], etc. My pin is 36748
Time of a Descent
A submarine traveling at 9.0 mph is descending at an angle of depression of [c]o. How many minutes, to the nearest tenth, does it take the submarine to reach a depth of 1[b]0 feet? Be sure to include a sketch. Use the following conversion: 1 mile = 5280 ft.
Note: if [c]=7, then [c]o=7o, and if [b]=4, then 1[b]0=140 feet
Work this custom problem about right triangles using the techniques you learned in this module.
Explanation / Answer
let x=minutes it takes submarine to reach a depth of 140 ft.
What we have here is a right triangle with a leg of 140 ft opposite the 7 deg angle and h=hypotenuse.
sin 7 deg = 140/h
=140/sin 7 deg=114.885 ft
travel time = distance/speed
x=(1148.85 ft/9 mi/hr)*(mi/5280 ft)*(60min/hr)
=(1148.85*60)/(9*5280)
=1.4 5minutes
ans:
It takes the submarine 1.45 minutesto reach a depth of 140 ft.
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