MEASUREMENT:
A woman is 5 ft tall and her shadow is 4ft long
a nearby tree has a shadow 30 ft long. how tall is the tree?
my answer i got was; 37.5 ft is that right?
a man is standing near a totem pole. the man is 74 in tall. his shadow is 4ft long. the shadow of the totem pole is 6ft long. how tall is the totem pole?
can you help with this?
A. correct
B. It's exactly analogous to the woman/tree problem. The shadow of the pole is 1.5 times as long as the man's shadow, so the pole is 1.5 times as tall as the man: 111 in.
Standing by a pole, a boy 3 1/2 feet tall casts a 6-foot shadow. The pole casts a 24-foot shadow. How tall is the pole?
At 3pm a tree has a shadow of 48 ft long, at the same time, a 6 ft tall person has a 15 ft shadow, how tall is the tree
a triangle has 2 sides that measure 8 in. and the base measures 5 in. which set of lengths is similiar to this triangle? 16,16,8 or 10,10,6.25 or 9,9,6 or 4,4,2
Yes, I can definitely help you with these measurement problems! Let's take them one by one:
Problem 1: The Woman and the Tree
You have been given that the woman's height is 5 ft and her shadow is 4 ft long. The nearby tree's shadow is 30 ft long, and you need to find the height of the tree.
To solve this problem, you can set up a proportion using the ratios of the heights to the lengths of their shadows. The proportion would look like:
(height of woman) / (length of woman's shadow) = (height of tree) / (length of tree's shadow)
Plugging in the given values, we have:
5 ft / 4 ft = (height of tree) / 30 ft
To solve for the height of the tree, we need to cross-multiply and divide:
5 ft * 30 ft = (height of tree) * 4 ft
150 ft^2 = 4 (height of tree)
150 ft^2 / 4 = height of tree
37.5 ft = height of tree
So, your answer of 37.5 ft for the height of the tree is correct!
Problem 2: The Man and the Totem Pole
You have been given that the man's height is 74 inches and his shadow is 4 ft long. The shadow of the totem pole is 6 ft long, and you need to find the height of the totem pole.
Similar to the first problem, we can set up a proportion using the ratios of the heights to the lengths of their shadows. The proportion would look like:
(height of man) / (length of man's shadow) = (height of totem pole) / (length of totem pole's shadow)
Plugging in the given values, we have:
74 in / 4 ft = (height of totem pole) / 6 ft
To solve for the height of the totem pole, we need to first convert the height of the man from inches to feet:
74 in = 74 in * (1 ft / 12 in) = 6.17 ft (approx.)
Now, we can proceed with the proportion:
6.17 ft / 4 ft = (height of totem pole) / 6 ft
Cross-multiplying and dividing, we get:
6.17 ft * 6 ft = (height of totem pole) * 4 ft
37.02 ft^2 = 4 (height of totem pole)
37.02 ft^2 / 4 = height of totem pole
9.25 ft = height of totem pole
So, the height of the totem pole is approximately 9.25 ft.
I hope that helps! Let me know if you have any further questions.