a protractor, however, that wouldn't really be used in the real world obviously. However, if you're doing a math problem, and it says that the image is drawn to scale, you can use a protractor to find the angle of elevation.
however, angle of elevation questions are usually solved via trigonometry. So, if possible, look to see if you can apply sin cos or tangent to the question.
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
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
draw yourself a triangle, with a 90* angle at the root of the tree. The sides of the triangle are: The shadow(the base side), the tree (the vertical side) and the distance between the top of the tree and the top of the shadow of the tree (the diagonal side).Then either calculate the diagonal side and solve the puzzle with a sine or directly solve it with a cosine. (You need the angle between the diagonal and base sides)
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Indirect measurement refers to calculating the size or quantity of an object using a method that does not involve direct measurement of the object itself. Instead, it relies on known values or relationships between different objects or measurements. For example, to determine the height of a tree, one might measure the length of its shadow and use the angle of elevation to the top of the tree, applying trigonometric principles to calculate the height indirectly.
A simple angle of elevation problem...You want to find out the height of a tree. You measure the distance from you to the base and find that it is 100 feet. You measure the angle of elevation of the top and find that it is 30 degrees. You are six feet tall. How tall is the tree?Answer: The tree is 64 feet tall. Its height is tangent 30 times 100 + 6.
Your best bet here would be to use trigonometry. One stand a given distance away from the tree and sight the top of the tree, say with a clinometer, to measure the angle of elevation. Then knowing the angle and the distance you are from the tree, the height of the tree can be calculated with a tangent function.
To find the angle of elevation of the sun, we can use the tangent function. The tangent of an angle is equal to the opposite side (height of the tree) divided by the adjacent side (length of the shadow). So, tan(angle) = height of the tree / length of the shadow. Plugging in the values, we get tan(angle) = 40 / 58. Taking the arctan of both sides gives us the angle, so the angle of elevation of the sun is approximately 33.56 degrees.
Angle of elevation tan^-1(14/7) = 63 degrees rounded
Using trigonometery if you know the length of its shadow and angle of elevation
To measure the height of a tree accurately, you can use a clinometer to measure the angle from your eye level to the top of the tree, then measure the distance from the tree to where you are standing. By using trigonometry, you can calculate the height of the tree.
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
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mathematical triangulation. Measure a set distance from the tree, determine the angle from a horizontal plane to the tip of the tree, and that should allow you to calculate the height of the tree.
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
A cloth tape / flexible measure.
The height of the tree if the angle of elevation is 40 N, would be 60 m.