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Oliga [24]
3 years ago
9

A 12 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building do

es the ladder reach ?
a. 24√2B.6√2C. 6 feetD.12√2
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Sin (45) = height/12


height = 12sin(45) = (12√2)/2 = 6√2 feet


Answer: (B) 6√2

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Answer:

I think E

Step-by-step explanation:

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A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
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Answer:

  • 4968.6 m from where it was fired
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Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

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Using the quadratic formula, we find t at the time of landing to be ...

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For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

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As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

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Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

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<u><em>Answer:</em></u>

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