Need help on this one
1 answer:
The trick here is to not use sin and cos at all.
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
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Answer:
Step-by-step explanation:
Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.
You can now use the pythagorean theorem with the sides to fill in the other side:
a^2+ b^2= c^2
5^2 + b^2= 22^2
25+b^2=484
b^2= 459
b=21.42
Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.
Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).
The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.
Okay so far? :)
(-5,0) and (0, 21.42)
(x1, y1) and (x2, y2)
slope= (y2-y1)/(x2-x1)
slope= (21.42-0)/ (0-(-5)) ---- becomes positive
slope= 4.284
(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)
Hopefully that answers your question!
Formula for lateral area of cylinder:
A
Here r=6 units and h=26 units
Put values in formula.
\\
(rounded to nearest whole number)
Answer: Lateral area of cylinder= 980 square units
A
Here r=6 units and h=26 units
Put values in formula.
(rounded to nearest whole number)
Answer: Lateral area of cylinder= 980 square units