The value of y will be equal to 4.61.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The value of y will be calculated by using the Pythagorean theorem:-
a² + a² = (9√2)²
a = 9
Applying angle property in the triangle:-

9tan26 = MK
LM = 9 - 9tan26
LM = 9 - 4.38
LM = 4.62
Therefore the value of y will be equal to 4.61.
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Angle OPM and Angle LMK
When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.
Let me know if you don't understand my explanation.
-T.B.
48 qrts * 25 barrels per trip = 1200 qrts get picked up per trip
1200 qrts * 1 hr/7qrts = 171.43 hrs to fill all 25 barrels
171.43 hrs * 1 day/24hrs = 7.14 days
I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.