Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Answer:
<h2>18/√3ft</h2>
Step-by-step explanation:
This is a ratio problem
Step one:
Given the ratio of length:width is <em> "3 space colon space square root of 3"</em>
mathematically it is expressed as
length:width 3:√3 or 3/√3
Step two:
3:√3 or 3/√3
if the built TV has a width of 6ft let the length be x
3/√3=x/6
cross multiply we have
x√3=3*6
x√3=18
x=18/√3ft
therefore the length will be 18/√3ft
Answer:
They are equal
Both answer is 65
Step-by-step explanation:
5x -30 = 2x +27
5x -2x = 27 +30
3x = 57
x = 57/3 = 19
5x -30 = 5(19) -30 = 65
2x +27 = 2(19) +27 = 65
(y-60) = 56
Because opposite angles in a rhombus are congruent in a rhombus.
So,
y=16
Also in a rhombus all 4 sides are equal so you can set
16 = 3x + 4
So,
X= 4
