Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
Answer: Either A or B
Step-by-step explanation:
Both A and B are the same answers, but the main answer should be
c+d=17, 4c+2d =54
C represents the number of cows and D represents the number ducks. The two and fours in front of the variables represents the number of legs the repesctive animal has.
c+d would mean how many animals are in the barn. Feel free to clarify the two same answers
Answer:
none
Step-by-step explanation:
-2 or 2 is the answer. The absolute value of 2 is 2 and the absolute value of -2 is 2 because absolute value can not be negative.