Providing that the pole is on level ground you have the outline of a right angled triangle with an adjacent side of 92 ft (the shadow of the pole) and a opposite side of 60 ft (the height of the pole). To find the angle of elevation use the tangent ratio. Tangent = Opposite/Adjacent Tangent = 60/92 = 0.652173913 Tan-1(0.652173913) = 33.11134196 degrees Therefore the angle of elevation is 33o correct to two significant figures.
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.
Tan60= 25/Height. Height = 25/Tan60 = 14.43
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
9.3
without the angle of light source this cannot be determined
Using trigonometery if you know the length of its shadow and angle of elevation
You can use trigonometry to find the angle of elevation. Let x be the distance from the tip of the shadow to the base of the pole and the height of the pole be y. Then, tan(60 degrees) = y/x. Given that the height of the pole is 12 feet, you can solve for x to find the angle of elevation.
WARNING: Do not, under any conditions, look at the sun, directly or indirectly.The find the elevation of the sun, measure the angle that an object's shadow from the sun makes. One way to do this is with a stick in the ground. Assuming the stick is perpendicular to the ground, the ratio of the stick's length to the shadow's length is the tangent of the angle of elevation. Solve for inverse tangent, and you have the angle.
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
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.
Use the tangent ratio: tan = 22.5/34 = 45/68 tan-1(45/68) = 33.49518467 degrees Angle of elevation = 33o29'42.66''
i dont care about math even though i use it.
Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem
A pole casting a shadow 49 feet long with an angle of elevation of the sun of 44.8 degrees is 50 feet tall. (47.98 rounded to two places)Tangent (theta) = opposite / adjacentTangent (44.9) = X / 49X = 47.98This does not take into account the curvature of the earth, but the error in this example is inconsequential, specifically an elevation error of about 0.015 percent.
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.
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)
Tan60= 25/Height. Height = 25/Tan60 = 14.43