Answer:
yes
Step-by-step explanation:
any shape that is duplicated to another area on a graph is a translation
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:
(x,y) --> (-1, -3)
Step-by-step explanation:
Solve by elimination...
2x - 3y = 7
4x + y = -7 (times 3; so -3y and 3y cancel out)
2x - 3y = 7
12x + 3y = -21
2x = 7
12x = -21
add together...
14x = -14
x = -1
plug x into one of the original equations and solve for y...
-2 - 3y =7
-3y = 9
y = -3
Hello there!
75 + 35 = 110
110 x 10% = 0.1
110 x 0.1 = 11 ( the 11 is your tax )
75 + 35 = 110
110 + 11 = 121
$121
Hope this helped!
15: the red tiles are triangle, blue tiles are pentagons
