by direct prop
34m 40m
56m x m
34/40=56/x
cross multiplication
34x=40*56
x = 40*56/34
x=65.88m
The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value. Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height. (length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height) tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)
When the sun is low down, the shadow is longer. If the sun is high up the shadow is shorter.
Height of building/105 = 6/14 Multiply both sides by 105: Height = 630/14 Height = 45 feet
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
It is zero: 0cm; 0mm A shadow has no height: length yes, but height no
The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value. Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height. (length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height) tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)
The height of the object casting the shadow, the height of the sun in the sky, what angle you are at when looking at the shadow.
3'6"
NO.
When the sun is low down, the shadow is longer. If the sun is high up the shadow is shorter.
Height of building/105 = 6/14 Multiply both sides by 105: Height = 630/14 Height = 45 feet
21.6 meters
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
From the given information, we see that the building and its shadow form a right triangle with base 30 ft and height 55 ft.Also, the person and his/her shadow form another similar triangle with base 3 ft and height x ft.Since both triangles are similar, we have:x/55 = 3/30 orx/55 = 1/10 cross multiply10x = 55 divide by 10 to both sidesx = 5.5Thus the person is 5.5 inches tall.
It is zero: 0cm; 0mm A shadow has no height: length yes, but height no
Using trigonometry its height is 12 feet
3 yards in height