When you make a drawing with the instructions, and call x the altitude of the plane and y the distance from the angle 72 ° to the point straight below the plane, you obtain these equations
tan(55°) = x / (2.2 + y)
tan (72°) = x / y
You solve y from the second equation
y = x / tan(72°)
Substitute y in the first equation
tan (55°) = x /(2.2 + x/tan(72°)
Solve for x:
x = tan(55)[2.2 + x/tan(72) ]
x = tan(55) (2.2) + x tan(55)/tan(72)
x - x tan (55)/tan(72) = 2.2 tan (55)
Now substitute the values of the tangents
tan (55) = 1.4281
tan(72) = 3.0777
x - 0.464x = 3.1419
x = 3.1419 / (1-0.464) =5.86 m
Ah ... it is a toy plane! I guess.
Your answer would be 5 and 1/6
I assume B, since you start with the sum of 16, then break it down and get "9+1=10, 10+6=16"
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
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