Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
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Answer:
It will take her approximately 28 seconds to cross the diagonal of the pitch
Step-by-step explanation:
If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.
Step one: Find the length of the field from its area.
The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.
i.e area = length X breadth.
Let us assume that the breadth = 6m
its length will be area / breadth = 42/ 6 = 7m
The length of the pitch = 7 m
Step Two: Find the length of the diagonal using Pythagoras' theorem.
From Pythagoras'theorem, the length of the diagonal can be obtained by
The length of the diagonal is 9.22m
Step three: Find the time using her speed and the distance she needs to cover.
Time = distance / speed
time = 9.22 /20 = 0.46 minutes
It will take her approximately 28 seconds to cross the diagonal of the pitch