Answer:
A. height from truck to platform = 28 ft
B. length of the start of the conveyor to the end of the conveyor = 70 ft
C. If the height of the truck to the platform is 37.5 ft, the angle of elevation = 30°
Step-by-step explanation:
Consider the sketch of the problem attached below.
based on the laws of trigonometry, we can recall that
sin θ =
in this case, we are looking for the opposite side of the triangle.
hence we have, opposite side = 75 × sin 22
=28.095 ft ≈ 28 ft
as shown in the sketch, this opposite side is the height of the truck from hte platform
B Similarly, from the laws of trigonometry, the adjacent side of the triangle can be obtained using the relation
cos θ =
Adjacent side = hypotenuse side × cos θ
Adjacent side = 75 ×cos (22)
Adjacent side = 69.53 ≈ 70 ft
C. If the new height of the truck to the platform is now 37.5 feet, the problem is redrawn in sketch 2. However, the same formulas still apply.
Sin θ =
Sin θ = = 0.5
θ = ( 0.5)
θ = 30°
Given end points of diameter,
(x1,y1)=(-3,-4)
(x2,y2)=(0,0)
Now,
the equation of circle is,
(x-x1)(x-x2)+(y-y1)(y-y2)=0
or, (x+3)(x-0)+(y+4)(y-0)=0
or, x^2 +3x +y^2 +4y =0
or, x^2 +y^2 +3x + 4y=0
which is in the form of x^2 +y^2 +2gx +2fy + c=0
where,
g=3/2
h=2
c=0
Now,
we know that
The internal angles of the triangle are
Angles
The internal angles of the triangle are
Angles
therefore
the answer is
Tell me if this is fine. I wasn't able to edit the document you gave me, so i made one on my own. If you require a full graph, comment, and ill make it again. (I put 2, select the best one)
