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meriva
3 years ago
7

Please help me with this !!

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

MP

Step-by-step explanation:

It is the correct answer of this question.

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>u</em><em> </em><em>and</em><em> </em><em>keep</em><em> </em><em>smiling </em>:)

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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
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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.

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