John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division II national cha
mpionship meet, where they both have a good shot at earning a medal in the men’s 100-meter freestyle event. The coach feels that Chris is not as consistent as John, even though they clock about the same average time. In order to determine if the coach’s concern is valid, you clock their time in the last 9 runs and compute a standard deviation of 0.93 seconds for John and 1.08 seconds for Chris. It is fair to assume that clock time is normally distributed for both John and Chris. Let the clock time by John and Chris represent population 1 and population 2, respectively.
Calculate the value of the test statistic.
Calculate the value of the test statistic.
1 answer:
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Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (), the opposite leg is the height the ladder will reach
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:
Isolating :
Adding to this height the extra height of (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach