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The flagpole is 15.92 metres, approx.

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Q: 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?

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

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.

Not enough information has been given to solve this problem such as: What is 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.

Tangent (theta) is cosine / sine, or Y / X.Tangent (theta) is 40 / 58Theta = 34.6 degreesSince we are dividing cosine by sine, the hypotenuse does not matter as it cancels out.

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If you also know its shadow then you can work out the angle of elevation

36 degrees

It is nearly 40 feet

When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.

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.

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

Using trigonometry its height is 12 feet

(Height of the building)/(length of the shadow) = tangent of 31Ã‚Â° .Height = 73 tan(31Ã‚Â°) = 43.9 feet (rounded)

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

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°

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.

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