Find the Angles a and ACB and the Length CD

question 204

Multiple Choice

Find the angles A and ACB and the length CD in the roof in the illustration below, where AC = BC. Round lengths of sides to three significant digits and angles to the nearest tenth of a degree.

• A) ∠A = 21.1°, ∠ACB = 132.2°, CD = 2.65 ft
• B) ∠A = 20.4°, ∠ACB = 139.2°, CD = 2.78 ft
• C) ∠A = 20.4°, ∠ACB = 139.2°, CD = 3.25 ft
• D) ∠A = 21.6°, ∠ACB = 127.2°, CD = 2.71 ft
• E) ∠A = 19.9°, ∠ACB = 144.2°, CD = 3.25 ft

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Definitions:

Theory Of Mind

The ability to attribute mental states—beliefs, intents, desires, emotions—to oneself and others, and to understand that others have beliefs, desires, and intentions that are different from one's own.

Conservation

The principle in cognitive development where a child recognizes that quantity remains the same despite changes in its shape or form.

Short, Wide Glass

A container for liquids that is notably lower in height but broader in width, affecting the perception of content volume.

Soda

A sweet, carbonated beverage, often flavored and containing caffeine and other additives.