Answer:
Step-by-step explanation:
✔️Finding h using trigonometric ratio:
Reference angle = 60°
Opposite = h
Adjacent = 3
Thus:
(tan 60 = √3)
Multiply both sides by 3
✔️Finding c using trigonometric ratio:
Reference angle = 45°
Hypotenuse = 8
Adjacent = c
Thus:
(cos 45 = √2/2)
Multiply both sides by 8
Answer:
1920 gallons of water
Step-by-step explanation:
From the question; the amount of water is proportional to volume of the tank
i.e amount of water = volume of the tank
in a tropical fish;
3000 gallons of water = 12.5 m³ ----- Equation (1)
However, in the measurement of shark tank, we have
length = 20cm = 0.2 meters
width = 4 meters
Height = 10 meters
How many gallons of water can the shark tank hold?
From the measurement of shark tank, we can calculate the volume;
The volume of the tank = Length × width × height
Volume of the tank = 0.2 × 4 × 10 = 8 m³
since, the amount of water is proportional to volume of the tank
y ( Gallons of water ) = 8 m³ -------- Equation (2)
Equating equation 1 and 2; we have:
3000 gallons of water = 12.5 m³
y ( Gallons of water ) = 8 m³
y ( Gallons of water ) × 12.5 m³ = 3000 gallons of water × 8 m³
y ( Gallons of water ) =
y ( Gallons of water ) =
y ( Gallons of water ) = 1920 gallons of water
Thus, the shark tank can hold 1920 gallons of water