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kogti [31]
3 years ago
5

S

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

Sorry I dont know the answer.

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Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
Sunny_sXe [5.5K]

Answer:

x is approximately 226.3 feet

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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

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By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

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y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

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