A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point 500m before the tangent point and the branching, crossing the lagoon at an initial deflection angle of 75° to connect directly to a point on the lagoon’s periphery by means of a hanging bridge. If the lagoon has a diameter of 1700m, determine the following: a) the length of the hanging bridge; b) if the hanging bridge divides the area of the lagoon into two segments, compute the area of the biggest segment in km2

A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point 500m before the tangent point and the branching, crossing the lagoon at an initial deflection angle of 75° to connect directly to a point on the lagoon’s periphery by means of a hanging bridge. If the lagoon has a diameter of 1700m, determine the following: a) the length of the hanging bridge; b) if the hanging bridge divides the area of the lagoon into two segments, compute the area of the biggest segment in km2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

A pathway running tangentially to a perfectly

circular lagoon is to have a branching at a point 500m

before the tangent point and the branching, crossing

the lagoon at an initial deflection angle of 75° to

connect directly to a point on the lagoon’s periphery

by means of a hanging bridge. If the lagoon has a

diameter of 1700m, determine the following: a) the

length of the hanging bridge; b) if the hanging bridge

divides the area of the lagoon into two segments,

compute the area of the biggest segment in km2

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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