In boot camp a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. unfortunately they miss the platform on the other side and swing back to where they started. if it takes the cadet 5.5 seconds to swing from one side of the obstacle to the other and back how long is the rope swing ?

732.21 m

Step-by-step explanation:

Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds

The formula for a complete oscillation(to and fro) period is

where:

T is the period of oscillations - time that it takes for the pendulum to complete one full back-and-forth movement.

L is the length of the pendulum

g is the acceleration of gravity, which is equal to 9.81 m/s^2

5.5 = 2 π √(L / 9.81)

5.5/2π = √(L / 9.81)

8.64 = √L / 9.81

8.64 ² = L / 9.81

74.64 = L / 9.81

L = 74.64 * 9.81

L = 732.21 m

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: