Karen is looking at the edge of a large circular object from a distance. From her view, the object appears as a line segment. She knows that the distances between herself and the points on the edges of what appears to be a line segment measure 25 feet. She also knows from her location, the edges form an angle at the point she is standing at that measures 45°. Find the diameter of the object that Karen is looking at.

Respuesta :

d = 25 ft

ω = (45º) ⁄ 2 = 22.5º

sin(ω) = R ⁄ d

                sin(22.5º) = R ⁄ 25

                

R = 9.57 feet

Diameter = 2R

Diameter = 2 • (9.57)

Diameter = 19.1 feet

Diameter = 19 feet (when rounded)

Answer:

20

Step-by-step explanation:

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