Answer:
The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft
Step-by-step explanation:
Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.
We will then find the position to place the plant where the suns rays can get to the base of the plant
Note that the fence is in between the sun and the plant, therefore we have
Height of fence = 5 ft.
Angle of location x from the fence = lowest angle of elevation of the sun, θ
This forms a right angled triangle with the fence as the height and the location of the plant as the base
Therefore, the length of the base is given as
Height × cos θ
= 5 ft × cos 27.5° = 4.435 ft
The plant should be placed at a location x = 4.435 ft from the fence.
Answer:
if 8 people take 10 hours then
1 people 10 / 8 = 1.25 hours
then 14 people =
14 * 1.25 = 17.5 hours
Answer:
The weight of the water in the pool is approximately 60,000 lb·f
Step-by-step explanation:
The details of the swimming pool are;
The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet
The depth of the pool = 5 feet
The density of the water in the pool = 60 pounds per cubic foot
From the question, we have;
The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g
The volume of water in the pool = Cross-sectional area × Depth
∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³
Acceleration due to gravity, g ≈ 32.09 ft./s²
∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N
266,196.089 N ≈ 60,000 lb·f
The weight of the water in the pool ≈ 60,000 lb·f
