In Exam Figure 7, AA′ = 33 m and BC =7.5 m. The span is divided into six equal parts at E, G, C, I, and K. Find the length of A′B. Round your answer to two decimal places.
Fig. 7 is needed
To find the length of A'B, we can use the information given in the problem and apply some geometry principles. Here's how to approach it:
Step 1: Determine the length of one equal part.
Since the span is divided into six equal parts and BC is 7.5 m, the length of one equal part can be found by dividing BC by 6.
Length of one equal part = BC / 6 = 7.5 m / 6 = 1.25 m.
Step 2: Calculate the length of AB.
In Exam Figure 7, AB can be divided into two sections: AA' and A'B.
Since AA' is given as 33 m, we need to subtract AA' from the entire span to find the length of A'B.
Length of A'B = BC - AA' = 7.5 m - 33 m = -25.5 m.
Step 3: Calculate the length of A'B in absolute value.
Since lengths cannot be negative, we need to take the absolute value of -25.5 m.
Absolute value of -25.5 m = 25.5 m.
Therefore, the length of A'B is 25.5 meters (rounded to two decimal places).