What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.

49 feet

Step-by-step explanation:

We solve for this using proportion

Height of Jack's house = ?? = Y

Length of the shadow of Jack's house = 56 feet

Height of a tree = 21 feet

Length of the shadow of the tree = 24 feet

Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree

Y/56 = 21/24

Cross Multiply

24 × Y = 56 × 21

Y = 56 × 21/24

Y = 1176/24

Y = 49 feet

Therefore, the height of Jack's house is 49 feet

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

p = 6s

step-by-step explanation: