Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
![\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BHeight%20of%20tree%7D%7D%7B%5Ctext%7BHeight%20of%20person%7D%7D%3D%5Cdfrac%7B%5Ctext%7BLength%20person%27s%20shadow%7D%7D%7B%5Ctext%7BLength%20of%20tree%27s%20shadow%7D%7D%5C%5C%5C%5C%5Cdfrac%7B%5Ctext%7BHeight%20of%20tree%7D%7D%7B63%7D%3D%5Cdfrac%7B124%7D%7B42%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BHeight%20of%20tree%7D%3D%5Cdfrac%7B124%7D%7B42%7D%5Ctimes63%3D186%5C%20inches%5C%5C%5C%5C%3D%5Cdfrac%7B186%7D%7B12%7D%3D%2015.5%20ft%5C%20or%5C%2015%20ft.%5C%206%5C%20inches.)
Hence, the height of tree = 15 ft. 6 inches
Answer:
The hypothesis is: "The last digit of n is zero."
The conclusion is: "n is divisible by five."
The converse is: "If n is divisible by five, the the last digit of n is zero."
The contrapositive is: "If n is not divisble by five, then n does not end in zero."
Step-by-step explanation:
I just took the test :)
Step-by-step explanation:
Use Pythagorean theorem here. To find the height, find the difference of the 2 y's. To find the length, find the difference between the 2 x's.
Length = x2 - x1
Height = y2 - y1
√length^2 + height^2 = distance
√5^2 + 5^2 = √50 = 7.07
Answer:
$ 2250
Step-by-step explanation:
3375 = s³
s = ∛3375
s = 15 ft.
floor area = s² = (15 * 15)
floor area = 225 ft²
the contractor charges $10 per ft².
therefore,
the hardwood cost = 225 x $10 = $2250