The tree was 20 feet tall.
You have two similar triangles with one side the tree, and another the shadow Using the side with the tree, the ratio of the length of the triangles can be found: the triangles are in the ratio of 24 : 40 Thus divide the shadow of the 40ft tree by 40 to find out the length of shadow per foot of tree, and multiply this by 24 to find the length of the shadow of the 24 ft tree. This can be done by using the ratio as a fraction 24/40: → the shadow of the 24 ft tree is 16 ft × 24/40 = 9.6 ft
(18/16)x40=45
That depends on the height of the yardstick whose height has not been given.
To find the height of the tree, we can set up a proportion using the similar triangles formed by the tree and its shadow, and the person and their shadow. The ratio of the height of the tree to its shadow is the same as the ratio of the height of the person to their shadow. This gives us (height of tree)/(9 ft) = (6 ft)/(4 ft). Solving for the height of the tree, we get height of tree = (9 ft * 6 ft) / 4 ft = 13.5 ft.
It works out as 30 feet in height
27.3 feet
The man is twice as high as his shadow. Therefore, the tree must also be twice as high as its shadow, which would make the tree 40 feet tall.
17.45 feet.
The ratio of the shadow cast to the height of an object will be the same at the same time of day. For the fence post, the height of the post is 2.5 times the length of the shadow ( 5 ft / 2 ft = 2.5 ) The tree has a 10 foot shadow, so using the same ratio for the fence post: 10 ft * 2.5 = 25 feet. The tree is 25 feet tall
The tree was 20 feet tall.
10.'384615' (recurring decimals) feet
25 ft
You have two similar triangles with one side the tree, and another the shadow Using the side with the tree, the ratio of the length of the triangles can be found: the triangles are in the ratio of 24 : 40 Thus divide the shadow of the 40ft tree by 40 to find out the length of shadow per foot of tree, and multiply this by 24 to find the length of the shadow of the 24 ft tree. This can be done by using the ratio as a fraction 24/40: → the shadow of the 24 ft tree is 16 ft × 24/40 = 9.6 ft
The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.
60
Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore: 4/6 = s/21, or s = [4(21)]/6 = 14 feet.