Answer:
x = 7
Step-by-step explanation:
Given
4(5x - 2) = 2(9x + 3) ← distribute parenthesis on both sides
20x - 8 = 18x + 6 ( subtract 18x from both sides )
2x - 8 = 6 ( add 8 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
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:
y=3
B.Slope is -6 Y intercept is 0.5
Step-by-step explanation:
the first answer is D and the second is C
Step-by-step explanation:
The first question you just move to the next point the second a translation doesn't mirror it but it does move it so its C because it slides
Answer:
X= 6!
Step-by-step explanation:
7 is half of 14
6 is half of 12
Have a great day!
