Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made p…
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A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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The image depicts a right triangle used to illustrate a mathematical problem involving a platform and the ground. - **Figure Layout:** - The base of the triangle is labeled "Ground" and measures 12 units. - The inclined side of the triangle rises from the ground to the "Platform" and measures 27 units. - The vertical side of the triangle connects the ground to the platform directly but is not labeled with a measure. - **Annotations:** - An angle at the base of the triangle is labeled with the variable \( x \). - There is a right angle symbol at the intersection of the ground and the vertical side. This diagram is typically used to apply trigonometric principles like sine, cosine, or tangent to solve for unknowns, such as the angle \( x \) or the height of the platform.
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Transcribed Image Text:The image depicts a right triangle used to illustrate a mathematical problem involving a platform and the ground. - **Figure Layout:** - The base of the triangle is labeled "Ground" and measures 12 units. - The inclined side of the triangle rises from the ground to the "Platform" and measures 27 units. - The vertical side of the triangle connects the ground to the platform directly but is not labeled with a measure. - **Annotations:** - An angle at the base of the triangle is labeled with the variable \( x \). - There is a right angle symbol at the intersection of the ground and the vertical side. This diagram is typically used to apply trigonometric principles like sine, cosine, or tangent to solve for unknowns, such as the angle \( x \) or the height of the platform.
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Step 1

Given

A RIGHT ANGLE TRIANGLE WITH BASE (B) = 12

AND HYPOTENUSE (H) = 27

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