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A building casts a shadow that is 348 meters long At the same time a person who is 2 meters tall casts a shadow that is 6 meters long How tall is the building?

116


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.


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 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

A building casts a shadow that is 348 meters long At the same time a person who is 2 meters tall casts a shadow that is 6 meters long How tall is the building?

116


A 10-meter high flagpole casts a shadow 6 meters long How long is the shadow of a nearby bush that is 3 meters tall?

1.8 meters. The ratio of object to shadow is 10:6. Therefore if the object is 3, the shadow is 1.8 ( 6/10x3).


A tower casts a shadow 48 m long Tom is 2 meters tall and casts a shadow 8 meters long while standing in the tower's shadow How tall is the tower?

As the question is stated, Tom is standing IN THE TOWER'S SHADOW. If so, then Tom can't cast a shadow of his own, because he is not illuminated. Let's assume the question means to imply that Tom's shadow is measured AT THE SAME TIME that the shadow of the tower is measured, and kind of NEAR the tower, so that the sun casts both shadows from the same place in the sky. If this is a valid assumption, then the tower is 12 meters tall.


If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts.?

It is approx 36.6 ft.


If a tree 17 feet tall casts a shadow 12 feet long how high is a building that casts a shadow 19 feet long?

To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.


What is the angle of elevation of the sun with the ground when the pole 7.6 meters casts a shadow 6.1 meters long?

Required angle has a tangent of 7.6/6.1 ie 1.249. This is 51.25 degrees.


How tall is a flagpole on ground level that casts a shadow 35 feet long with a man that stands 6 feet tall and he casts a shadow of 8 feet long?

28 feet


A lamppost casts a shadow that is 35 yards long A 3-foot-tall mailbox casts a shadow that is 5 yards long How tall is the lamppost?

21


A tree is 18 feet tall and casts a shadow 6 feet long A nearby sign casts a 3 foot shadow What is the height of the sign?

A 1 foot shadow I think.


How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?

The height of the tree is in direct proportion to the pole and its shadow


When the angle of elevation to the sun is 52 degrees a tree casts a shadow that is 9 meters long what is the height of the tree?

It is: tan(52)*9 = 11.519 meters rounded to three decimal places


How high is a tree that casts a 25 ft shadow at the same time a 4 ft post casts a shadow which is 8 ft long?

50 feet