the angle at which

USAGE SUMMARY

The phrase "the angle at which" is correct and usable in written English.
It can be used when discussing the specific orientation or position of an object or concept in relation to another object or concept. Example: "The angle at which the light enters the prism affects the resulting spectrum of colors."

✓ Grammatically correct

News & Media

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Vary the angle at which they face you.

The New York Times - Tech

They can change the angle at which these little hairs are stuck to the wall.

The Guardian - Lifestyle

Cameramen provide tension by means of the angle at which they light a character.

The New Yorker

And the angle at which the head drops to the tail is very steep," he says.

The Guardian - Tech

Finally, they asked their subjects to estimate the angle at which an object was approaching them.

The New York Times - Sports

The angle at which they were left facing each other suggested a quarrel.

The New Yorker

It also lets you choose the angle at which you want to view the board.

The New York Times - Tech

The mirrors appear either bright or dark, depending on the angle at which they are set.

The Economist

The amount of ionization depends on the angle at which sunlight enters the atmosphere.

Encyclopedia Britannica

The angle at which her hips jutted out from her torso was as seductive as it was alarming.

The New York Times - Arts

Comedy is the angle at which most of us see the world, the way that our very light is filtered.

The New Yorker

Expert writing Tips

Best practice

When describing visual phenomena or technical setups, use "the angle at which" to precisely indicate orientation or incidence. This is especially important in scientific writing and technical documentation to minimize ambiguity.

Common error

Avoid using "the angle at which" when a simpler preposition like "from" or "at" suffices. Overusing the phrase can make your writing sound unnecessarily complex. For example, instead of "the angle at which the light comes", consider "the light's angle" or "the angle of the light".

Linguistic Context

The phrase "the angle at which" functions primarily as a prepositional phrase, often acting as an adjectival modifier to specify the orientation or direction affecting an action or characteristic. Ludwig AI analysis confirms this usage across numerous contexts.

Expression frequency: Very common

Frequent in

News & Media

30%

Science

30%

Academia

20%

Less common in

Wiki

10%

Encyclopedias

5%

Formal & Business

5%

Ludwig's WRAP-UP

In summary, "the angle at which" is a grammatically sound and frequently used phrase that serves to pinpoint orientation and perspective across various domains. As confirmed by Ludwig AI, it excels in scenarios demanding precision, such as scientific reports, news reporting, and academic discussions. While alternatives exist, such as "the perspective from which", "the angle at which" specifically denotes a measurable spatial relationship. When clarity is paramount, especially in technical and analytical contexts, leveraging "the angle at which" ensures the message is accurately conveyed. Though its register tends towards neutral to formal, its versatility makes it applicable in a wide range of writing styles.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the perspective from which

Focuses more on the observer's viewpoint rather than a geometrical angle.

the viewpoint from which

Similar to perspective, but implies a more subjective observation.

the orientation with which

Emphasizes the alignment or positioning of something.

the inclination toward which

Highlights the slanting or leaning direction.

the direction in which

Broader term referring to the way something is facing or moving.

the position from which

Focuses on the location of origin.

the level at which

Denotes a specific height or stage.

the vantage point where

Refers to a location offering a good view or perspective.

the gradient by which

Implies a rate of change or slope.

the slant with which

Highlights a diagonal or oblique orientation.

FAQs

How can I use "the angle at which" in a sentence?

Use "the angle at which" to specify the orientation or perspective of something relative to another object or point. For instance, "The amount of ionization depends on the angle at which sunlight enters the atmosphere."

What's a simpler way to say "the angle at which"?

Depending on the context, you could use phrases like "the perspective from which", "the direction in which", or simply rephrase the sentence to use prepositions like "from" or "at". For example, instead of saying "the angle at which you view the board", you could say "your viewing angle of the board".

Is there a difference between "the angle at which" and "the viewpoint from which"?

"The angle at which" typically refers to a literal angle or orientation, while "the viewpoint from which" ("the viewpoint from which") emphasizes a perspective or point of view. The former is more geometric, and the latter is more observational.

When is it best to use "the angle at which" over simpler alternatives?

Use "the angle at which" when you need to be precise about the angular relationship between two things. In less formal contexts, you might opt for alternatives like "the way that" or "how", but avoid those alternatives in a formal context.