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3 years ago

Please help need quickly

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

Answer: 23 ft (approximately)

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Explanation:

Draw out a diagram as I've done so below. The unknown side x is opposite the reference angle 68. The hypotenuse (ladder length) is 25.

We'll use the sine rule

sin(angle) = opposite/hypotenuse

sin(68) = x/25

25*sin(68) = x

x = 25*sin(68)

x = 23.1795963641697

x = 23

The ladder reaches approximately 23 feet up on the wall.

I'm rounding to the nearest whole number because the other values given to you were also whole numbers. If your teacher says to round otherwise, then follow those instructions instead.

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Answer:

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Step-by-step explanation:

we know that

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If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

step 1

Find the slope of the given diagonal

we have

(-11, -9) and (-5, -3)

m=(-3+9)/(-5+11)

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Find the slope of the other diagonal

we have

m1=-1

Find m2

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(-1)*m2=-1

m2=1

step 2

Verify the slope of each of the endpoints of the other diagonal

The slope of the other diagonal must be equal to 1

case a) (-10, -4) and (-6, -8)

m=(-8+4)/(-6+10)

m=-4/4=-1

therefore

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case b) (-8, -3) and (-5, -6)

m=(-6+3)/(-5+8)

m=-3/3=-1

therefore

The points of case b) cannot be the end-points of the other diagonal

case c) (-8, -4) and (-8, -8)

m=(-8+4)/(-8+8)

m=-4/0 -----> undefined

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case d) (-10, -8) and (-6, -4)

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therefore

The points of case d) can be the end-points of the other diagonal

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Answer:

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