Answer:
The answer to the question is;
Then the apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is
.
Step-by-step explanation:
To answer the question we have
Let the location of the closest pole = x
Let the height of the closest pole = h feet
Also let the actual height of the pole at location 100×n feet away be 50 feet
Where n = 1, 2, 3, ...∞
Then we have by taking tangent of the similar triangles so formed by the poles
Then h/x = 50/(x +100·n)
Therefore h = 50 × x/(x +100·n) = 50·x ÷(x + 100·n) =
feet
The apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is 50·x /(x+100·n) where n is the number of 100 feet further away the pole is e.g when n = 1 we have
h = 50·x /(x+100·1) = 50·x /(x+100)
The fraction would be 10/3. Hope this helps!
Answer:
The short story have 26 pages
The novel's pages is 364
Step-by-step explanation:
Step one:
given data
let the short story have x pages
so that the novel's pages will be 14x
the combined pages for novel and short story is =390 pages
Required
the individual number of pages
14x+x=390
15x=390
divide both sides by 15
x=26
the short story have 26 pages
the novel's pages will be 14(26)= 364
Answer:
1. C = 360 - (77 + 123 + 86) = 74
2. x = 252
D = 290
3. x = 20
S = 47
P = 131
4. 36, 72, 108, 144
Step-by-step explanation:
Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.
1. C = 360 - (77 + 123 + 86) = 74
2. x + 38 = 360 - (124 + 97 + 69) = 290
x = 290 - 38 = 252
D = 290
3. (27 + x) + (3x + 71) = 360 - (119 + 63)
27 + x + 3x + 71 = 178
4x = 80
x = 20
S = 27 + x = 27 + 20 = 47
P = 3x + 71 = 3(20) + 71 = 131
4. Let angles be x, 2x, 3x, 4x then
x + 2x + 3x + 4x = 360
10x = 360
x = 36
then the angles are 36, 72, 108, 144