Ratio of height of the man to the length of the shadow = 6:9 = 2:3 Ratio of height of the tree to the length of its shadow = x:25 = 2:3 x/25 = 2/3 x = (25 x 2)/3 = 50/3 = 16.67
Therefore the approximate height of the tree to the nearest foot is 17 feet.
The question ask to calculate and find the approximate height of the tree to the nearest foot if it has cast a shadow of 25feet and the man also cast a shadow near it at a height of 6 foot. So base on that fact, I came up with an answer of approximately 17 feet. I hope you are satisfied with my answer
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
M and 2 appear to be 90 degrees. This is because there are parallel sides on the left and right of the kite. So, 2 is 90 degrees.
E and 75 are corresponding (I don't remember the postulate or whatnot) so 90 degrees plus 75 degrees is 165 degrees. There are 180 degrees in a triangle, so 180 minus 165 is 15. 1 Has to be 15 degrees.
3 is 66 degrees since it is corresponding with the angle on the other side of T (I, once again, do not remember the postulate).