If you place a 17 foot ladder against the top of a 8 foot building how many feet will be bottom of the ladder be from the bottom of the building

The distance of the bottom of the ladder be from the bottom of the building is = 15 feet

Step-by-step explanation:

Given:

Length of the ladder =17 ft

Height of the building = 8 ft

To find the length between the bottom of the ladder and the bottom of the building.

Solution:

On drawing out the situation, we find out that a right triangle is formed with the ladder being the hypotenuse and the building being a leg of the right triangle.

We need to find the length of the other leg of the triangle which is the distance from the bottom of the ladder to the bottom of the building.

Applying Pythagorean theorem:

Plugging in values in feet from the given data.

Simplifying.

Subtracting both sides by 64.

Taking square root both sides.

∴

Thus, distance of the bottom of the ladder be from the bottom of the building is = 15 feet

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: get a conversion sheet out i dont know the exact measurments

step-by-step explanation: divide the number of feet with the nu,ber of milrs and there your answer