Please help ASAP I need it
2 answers:
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Answer:
y = -5/2x + 20/3
Step-by-step explanation:
<u>x-int of 3x + 6y = 8</u>
sub 0 for y
3x + 6(0) = 8
3x = 8
x = 8/3 or 2.667
<u>line perpendicular to 2x - 5y = 10</u>
put into y = mx + b form
2x - 5y - 10 = 0
5y = 2x - 10
y = 2/5 x - 2
<u>find negative reciprocal of the slope 2/5 x (for the perpendicular line)</u>
-5/2 x
<u>find the y-int (b)</u>
m = -5/2 x
must pass through (8/3,0)
y = mx + b
0 = -5/2(8/3) + b
0 = -40/6 + b
b = 20/3
therefor the equation of the line is y = -5/2x + 20/3
Answer
Find out the length of the pole .
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
