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Measure height and shadow af a smaller object --- call these h1 and s1 measure the shadow of something larger like a tree. call this s2 its height is the unknown call it h2 use a proportion to solve the problem h1/s1 = h2/s2 substitute in the measured amounts, rearrange the equation (proportion) and find the answer.
They both share the same tangent ratio so let the height of the monument be x: 500/x = 40/36 Solving the above equation gives x a value of 450 which is the height in feet.
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
Using trigonometery if you know the length of its shadow and angle of elevation
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.
3'6"
NO.
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.
-67
Measure height and shadow af a smaller object --- call these h1 and s1 measure the shadow of something larger like a tree. call this s2 its height is the unknown call it h2 use a proportion to solve the problem h1/s1 = h2/s2 substitute in the measured amounts, rearrange the equation (proportion) and find the answer.
They both share the same tangent ratio so let the height of the monument be x: 500/x = 40/36 Solving the above equation gives x a value of 450 which is the height in feet.
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
Tan60= 25/Height. Height = 25/Tan60 = 14.43
If the man's shadow is 4 feet long, and the man is 6 feet tall, then the ratio of the man's height to his shadow length is 6:4, or 1.5. Therefore, you can use this ratio to determine the height of the tree by setting up a proportion: tree height/x = 1.5/4. Solve for x to find the height of the tree.