Answer: 2.1 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the wall represents the opposite side of the right angle triangle.
The distance, d from the bottom of the ladder to the base of the wall represents the adjacent side of the right angle triangle.
To determine the distance, d from the bottom of the ladder to the base of the wall, we would apply we would apply the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 65 = d/5
d = 5Cos 65 = 5 × 0.4226
d = 2.1 feet
Answer:
240
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A mechanical wave has to have a medium to work
We have that
<span>vertex (0,0)
and
focus (2.5, 0)
we know that
</span>vertex and focus lie on same vertical or horizontal line
<span>in this problem
</span>We can see that focus is right of vertex so parabola opens to right. It is horizontal parabola
<span>the equation is of the form
(y-k)</span>²=4a(x-h)
<span>where (h,k)-----> is the vertex
and
a------> </span>distance between vertex and focus
<span>
step 1
vertex (h,k)-------> (0,0)
step 2
find the distance a between point (0,0) and (2.5, 0)
a=</span>√[(0-0)²+(2.5-0)²]------> a=√(2.5)²------> a=2.5 units
<span>
the equation is
</span>(y-k)²=4a(x-h)------> (y-0)²=4*2.5*(x-0)-------> y²=10x
<span>
the answer is</span>
y²=10x
<span>
see the attached figure
</span>