Check the picture below.
in the picture below, the bottom part
notice, 69° + 21° = 90°, so 21° and 69° are really complementary angles, sharing the same quadrant, meaning for any two sides of lengths say, a,b one angle will have a tangent of say b/a, then the other will have a tangent of a/b.
namely the tangent of each angle, is simply the other's tangent upside-down.
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
Substitute the values in the equation,
If 1 mile = 5,280 feet, then his speed is,
And 1 minute = 60 seconds, then his speed is,
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
For more details about Equation refer to the link given below.