Use the tangent formula:
tanx= opposite side {divided by} adjacent side
1) Divide the 2 sides I side.
2) See the "tanx"? Tan is a value. And x is a variable. To get x, the angle we are looking for, we must take the answer from 1) and go tan-1 on it (some calculators you hit tan, then 2nd function, others are the opposite).
3)You should have the value of x, the angle of elevation to the sun.
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.
To find the angle of elevation of a rod given the ratio of its height to the length of its shadow as (1 : \sqrt{3}), we can use the tangent function. The tangent of the angle of elevation ( \theta ) is equal to the ratio of the opposite side (height of the rod) to the adjacent side (length of the shadow). Therefore, ( \tan(\theta) = \frac{1}{\sqrt{3}} ). This corresponds to an angle of ( 30^\circ ).
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
i dont care about math even though i use it.
You can then work out the angle of elevation ------------- What is it you want to find out? In any case, you would have to look up the latitude of each place, and perhaps also the time of year. It might be easiest if it were the spring or fall equinox.
Use the tangent ratio: tan = 22.5/34 = 45/68 tan-1(45/68) = 33.49518467 degrees Angle of elevation = 33o29'42.66''
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
Using trigonometery if you know the length of its shadow and angle of elevation
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.
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.
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.
To find the angle of elevation of a rod given the ratio of its height to the length of its shadow as (1 : \sqrt{3}), we can use the tangent function. The tangent of the angle of elevation ( \theta ) is equal to the ratio of the opposite side (height of the rod) to the adjacent side (length of the shadow). Therefore, ( \tan(\theta) = \frac{1}{\sqrt{3}} ). This corresponds to an angle of ( 30^\circ ).
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
The angle of elevation of the sun can be determined using the tangent function in trigonometry. Specifically, if the height of the flagpole is ( M ) and the length of the shadow is ( m ), the angle of elevation ( \theta ) can be calculated using the formula ( \tan(\theta) = \frac{M}{m} ). To find the angle, use ( \theta = \arctan\left(\frac{M}{m}\right) ). This angle represents how high the sun is in the sky relative to the horizontal ground.
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.
i dont care about math even though i use it.