how high is a tree that casts a 30 ft shadow at the same time a 10 ft pole casts a shadow which is 10 ft long?
thats how big my pole is HAHAHAHAHAH
AND ALSO AJO MAMAMAMAMAMAMAMA!
To find out the height of the tree, we can use the concept of similar triangles. Let's assume that the height of the tree is 'h' feet.
According to the information given, when a 10 ft pole casts a 10 ft shadow, we can form a right triangle with the pole, its shadow, and the tree's shadow. Similarly, when the tree casts a 30 ft shadow, we can form another right triangle with the tree, its shadow, and the pole's shadow.
Now, let's set up the ratios of the corresponding sides of the two triangles:
In the first triangle:
Height of the pole (10 ft) / Length of the pole's shadow (10 ft) = Height of the tree (h ft) / Length of the tree's shadow
In the second triangle:
Height of the pole (10 ft) / Length of the pole's shadow (10 ft) = Height of the tree (h ft) / Length of the tree's shadow (30 ft)
By setting up these ratios, we can find the value of 'h' - the height of the tree.
10 ft / 10 ft = h ft / 30 ft
Simplifying this equation:
1 = h / 3
To find the value of 'h', multiply both sides of the equation by 3:
3 = h
Therefore, the height of the tree is 3 feet.
No need for trig, just use ratios of similar triangles
h/30 = 10/10
h/30 = 1
h = 30