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If we assume the the flagpole makes a 90 degree angle with the ground, then the angle of elevator for the sun is 34.778°

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Michael Scalise

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Q: What is the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 32.4 m long?
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If the angle of elevation of the sun is 53 degrees when a flagpole casts a shadow of 12 m then the height of the flagpole is?

The flagpole is 15.92 metres, approx.


If a tree casts a shadow of fifteen meters long how tall is the tree?

Not enough information has been given to solve this problem such as: What is the angle of elevation?


Find the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 34 m long?

Use the tangent ratio: tan = 22.5/34 = 45/68 tan-1(45/68) = 33.49518467 degrees Angle of elevation = 33o29'42.66''


When the shadow of a flagpole is 31.2m long a 1.6m fencepost casts a shadow 2.6m long how tall is the flagpole?

First, find the ratio of fencepost-height : shadow which is 1.6 : 2.6 . This can also be written as a fraction, 1.6/2.6 . Then, multiply the flagpole's shadow by this ratio: 31.2 x 1.6/2.6 = 19.2 The flagpole is 19.2m high. The trigonometry way: On the imaginary right angled triangle formed by the fencepost and its shadow, let the angle at which the hypotenuse meets the ground = θ sinθ = 1.6/2.6 sinθ = /31.2 x/31.2 = 1.6/2.6 2.6x = 31.2 * 1.6 = 49.92 x = 19.2 The flagpole is 19.2m high.


A tree 40 feet high casts a shadow 58 feet long find the measure of the angle of elevation of the sum?

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.

Related questions

If the angle of elevation of the sun is 53 degrees when a flagpole casts a shadow of 12 m then the height of the flagpole is?

The flagpole is 15.92 metres, approx.


What is the angle of elevation to the nearest degree of the sun if a 54 foot flagpole casts a shadow 74 feet long?

36 degrees


When the angle of elevation to the sun is 26 degrees a flagpole casts a shadow that is 82 feet long. How tall is the flag pole?

It is nearly 40 feet


If a tree casts a shadow of fifteen meters long how tall is the tree?

Not enough information has been given to solve this problem such as: What is the angle of elevation?


Find the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 34 m long?

Use the tangent ratio: tan = 22.5/34 = 45/68 tan-1(45/68) = 33.49518467 degrees Angle of elevation = 33o29'42.66''


A flagpole casts a ten meter shadow at the same time as a six meter statue beside it casts a two meter shadow What is the height of the flagpole?

The statue is 6/2 = 3 times the length of its shadow. The flagpole is 3 times its shadow ie the flagpole is 3*10 = 30 metres.


A flagpole casts a shadow of 40 ft nearby a 10-ft tree casts a shadow of 2 ft what is the height of the flagpole?

Ten is to two as 40 is to x, yielding: 200ft.


A woman casts a shadow that is 8.8 feet long how tall is the woman?

Your missing the angle of elevation or depression.


A 30-ft tall flagpole casts a 12 ft shadow. What is the angle that the sun hits the flagpole?

It would be just above the top. I hope this answers your question. Let me know please.


A flagpole casts a shadow 102 feet long a 6ft talk man casts a shadow 17ft long How tall is the flagpole?

It works out as: 42.353 feet tall rounded to 3 decimal places


A flagpole casts a shadow 28 feet long a person standig nearby casts a shadow eight feet long if the person is six feet how tall is the flagpole?

21 ft how is the equation to give you this result


What is the angle of elevation of the sun when a woman 1.5 meters tall casts a shadow of 2.9 meter shadow?

It is: 27.35 degrees rounded to two decimal places