Refer to the interactive gutter diagram. What area does the applet give for area

Question

Refer to the interactive gutter diagram. What area does the applet give for area when the angle is 90 Report the number, without units (Note: Since it's difficult to mouse to exactly 90 degrees, were looking for a rough value) e Standard page Internet Explorer O A. The area is roughly 16.0 M http//math wvu.edu/-rhansen/TrigApplets/Gutter/Gutter.html O B. The area is roughly 14.0 O C. The area is roughly 14.5 DO 4.0 O D. The area is roughly 16.5 OA 4.0 mangle BOA 85.2 O E. The area is roughly 15.5 Gutter cross sectional area 17.3

Explanation / Answer

Since we have to approximate it, it looks like a rectangle

To know the area of rectangle you need it' 2 adjacent sides.

Now, you have been given 2 adjacent sides lenghts.

So, area of the figure = DO*AO = 4*4 = 16

But, AC>OD ( note the figure)

And, CD>AO, ( again, a almost vertical AO must be smaller than a slant side which has the same vertical height as AO)

SO, the area in more than 16.

D is the correct option.

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