Discovering Acute Angle Between Two Planes in Basic Geometry | Learn with Gyazo

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In summary, the conversation discusses finding the acute angle alpha between two planes, where theta has already been found. The book suggests that alpha is equal to 180-theta, but there may be additional information needed to solve the problem. It is also mentioned that if n1 and n2 are perpendicular to the two rays of the angle, the total of theta and alpha would equal 180 degrees.
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Hi,

Take a look at the image here: http://gyazo.com/ded6b502ad2e5766e485cf0fc8535d83

I want to find alpha (the acute angle between two planes), I have found theta, but how do I find alpha? My book states it's 180-theta but I don't get why.
 
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It would help if you told us what the whole problem is! Given the information in your picture, you would certainly not be able to find theta! So there must be additional information you are not giving us.

Are n1 and n2 perpendicular to the two rays of the angle? The interior angles in any quadrilateral total 360 degrees. If n1 and n2 are perpendicular to the rays so they total 180 degrees, that leaves 180 degrees for theta and alpha: theta+ alpha= 180 so alpha= 180- theta.
 
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FAQ: Discovering Acute Angle Between Two Planes in Basic Geometry | Learn with Gyazo

What is an acute angle?

An acute angle is an angle that measures less than 90 degrees. It is a type of angle commonly found in basic geometry.

How do you discover the acute angle between two planes?

The acute angle between two planes can be discovered by finding the angle between the normal vectors of the planes. This can be done using the dot product formula or by using trigonometric functions.

What is the importance of knowing the acute angle between two planes?

Knowing the acute angle between two planes is important in various fields such as engineering, architecture, and physics. It helps in determining the orientation and relationship between two planes, which can be useful in solving real-world problems.

Are there any real-life applications of discovering the acute angle between two planes?

Yes, there are many real-life applications of discovering the acute angle between two planes. For example, it can be used in calculating the trajectory of an object in motion, determining the angle of incidence in optics, and finding the most efficient route for an airplane to travel.

Is it possible for the acute angle between two planes to be greater than 90 degrees?

No, the acute angle between two planes cannot be greater than 90 degrees. As mentioned earlier, an acute angle is defined as an angle that measures less than 90 degrees. If the angle between two planes is greater than 90 degrees, it is considered an obtuse angle.

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