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Using trigonometry.
By measuring a certain distance from the tree and knowing the angle of elevation you can use the tangent ratio:
tan = opp (the height of the tree)/adj (the distance)
Rearrange the formula:
opp = adj*tan
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How do you find the diameter of a tree?
Wrap a string around the tree and measure the length. Divide the length by pi (~3.14159); that is an approximation of the diameter (if the tree really was cylindrical. Cut the tree down measure the stump.
What is the formula for working out the height of a tree?
Formula for working out height of a tree is (distance from eye to base of tree/distance from eye to base of stick) x length of stick = tree height.(distance from eye to base of tree/distance from eye to base of stick) x length of stick = tree height is the formula for working out height of a tree.
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How do you find the diameter of a tree?
Wrap a string around the tree and measure the length. Divide the length by pi (~3.14159); that is an approximation of the diameter (if the tree really was cylindrical. Cut the tree down measure the stump.
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How can you find the height of tree?
Using trigonometery if you know the length of its shadow and angle of elevation
What would be the length of the shadow of a 24 ft tree when a 40 ft tree casts a 16 ft shadow?
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
Audio John wants to measure the height of a tree He walks exactly 100 feet from the base of the tree and looks up The angle from the ground to the top of the tree is 33º How tall is the tree?
64.9408 ft. You calculate this using trigonometry. Sine, cosine, and tangent are fractions made by dividing the length of one of the sides of a triangle by one of the other sides. The sine, cosine, or tangent for an angle is always the same, so if we know the angle and the length of one of the sides we can calculate the lengths of the other sides. Assuming the tree is at 90o to the ground we have a right angled triangle. The side of the triangle from john to the top of the tree is the hypotenuse ( the longest side) from John to the base of the tree is the adjacent side, and the ground to the top of the tree is the opposite side. Because we know the length of the adjacent side and need to find the length of the opposite, the function we use is the tangent, tangent = length of opposite side divided length of adjacent side. The angle is 33o so we look up tan 33o which is 0.6494. Tan(33)= length of opposite/length of adjacent (move length adj by multiplying both sides by length adj) Tan(33) x length of adjacent = length of opposite (length from John to tree 100ft= 30.84 metres) 0.6494 x 30.48 metres = length of opposite (which is the height of the tree) Tree height = 19.79 metres (or 64 feet 11 and 9/64 inches)
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In the Pythagorean Theory you have given me the "opposite length" but no "adjacent side" as you are trying to find the hypotenus side. Note: "Opposite side" represents the length of distance from the base of the tree to the stand. Note: "Adjacent side" represents the length of distance from the base of the tree to the target that is being shot at
What is the formula for working out the height of a tree?
Formula for working out height of a tree is (distance from eye to base of tree/distance from eye to base of stick) x length of stick = tree height.(distance from eye to base of tree/distance from eye to base of stick) x length of stick = tree height is the formula for working out height of a tree.
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The Tree of Zaqqum is mentioned in the Quran as a tree in the seventh level of hell, Jahannam, that brings torment to sinners. It is not a physical tree that exists in the world but a symbolic element in Islamic eschatology.
