To find the height of the Gateway Arch, we can use the concept of similar triangles. The ratio of the boy's height to his shadow length is the same as the ratio of the Arch's height to its shadow length. Therefore, if the boy is 5 feet tall and casts a 1-foot shadow, the height of the Arch can be calculated as follows:
Height of Arch = (Height of boy / Length of boy's shadow) × Length of Arch's shadow = (5 feet / 1 foot) × 126 feet = 630 feet.
Thus, the Gateway Arch is 630 feet tall.
2
40 ft
50 feet
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
15 feet high
28 feet
32
Everything has a shadow. I think maybe because the shadow is cast upon it's self. Every object that stands in light casts a shadow, unless that object is light (produces light). A light bulb illuminated on a sunny day,has no shadow of the illumined parts. A flashlight in the sun light is a waste, a flame from a lighter on a sunny day is almost invisible. If an object casts no shadow, then, that object is light. I like to describe it as, (concerning people) a humble person casts no shadow.
Earth casts the shadow.
Either the Moon casts its shadow on Earth, or the Earth casts its shadow on the Moon.
1. How high is a flagpole that casts a shadow of 45 ft at the same time a woman 5.5 ft tall casts a shadow 10 ft?
(35/7)*4 = 20 Ft.
A tree casts a large shadow.
2
To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.
A 1 foot shadow I think.
The height of the tree is in direct proportion to the pole and its shadow