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°
