Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting triangle AEFD?
1 answer:
Answer:
The answer is below
Step-by-step explanation:
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.
A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.
From the image, AD = z, FC = x, BF = w and BC = y. Hence:
EB = FC = x.
EF = AD = length = z; AE = FD = height = w
Therefore the dimensions of rectangle AEFD is length z and height w
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Answer:
(a) 25.08 m
(b) 2.05 m
Step-by-step explanation:
Let the height of the building be 'h'.
Given:
Angle of projection is, °
Initial speed is,
Time of flight is,
(a)
Consider the vertical motion of the brick.
Vertical component of initial velocity is given as:
Vertical displacement of the brick is equal to the height of the building.
So, vertical displacement = (Negative sign implies downward motion)
Acceleration is due to gravity in the downward direction. So,
Acceleration is,
Now, using the following equation of motion;
Therefore, the building is 25.08 m tall.
(b)
Let the maximum height be 'H'.
At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.
So,
Now, using the following equation of motion, we have:
Therefore, the maximum height of the brick is 2.05 m.