A 36-foot-tall tree that is leaning toward the sun casts a 40-foot-long shadow when the sun is at a 41° angle of elevation. Approximately how many degrees does the tree lean?
a. 1°
c. 4°
b. 2°
d. 7°

 64degrees

Step-by-step explanation:

Give the following

Height of tree H = 36feet

length of the shadow L = 40feeet

Requires

Angle of eleation

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin theta = H/L

Sin theta = 36/40

SIn theta = 0.9

theta  = arcsin0.9

theta = 64.16

Hence the required angle is  64degrees

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'.