y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
Answer:
True
Step-by-step explanation:
Quasi-dynamic is a framework which accounts for inertial effects. In this we determine the long term behavior of state. It can be used to identify industry analysis where the industry is in a static state. Quasi static is a thermo-dynamic process that remains in internal equilibrium.
Answer:
The author is trying to tell us that you need an imagination
Step-by-step explanation: