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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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Continue Learning about Trigonometry

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''


what is the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 32.4 m long?

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°


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.


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?


How do you find the elevation of the sun?

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.

Related questions

Suppose you know the height of a flagpole on the beach of the Chesapeake Bay and that you know the length of its shadow How do you calculate the angle of elevation?

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


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


When is the shadow equal in length to your height?

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


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.


How tall is a building with a 73 ft shadow when elevation of the sun is 31 degrees?

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


What is the height in feet of a flagpole which casts a 6-foot shadow when a 6-foot man cast a 3-foot shadow?

Using trigonometry its height is 12 feet


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''


what is the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 32.4 m long?

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°


If a flagpole cast a shadow of 7.7m and a pole cast a shadow of 1.2m how tall is the flagpole?

5


Suppose you know the height of a flagpole on the beach of the Chesapeake bay and that it casts a shadow 4ft long at 2pm est you also know the height of a flagpole on the shoreline of lake Michigan?

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.