The communities of Wood Town and Green Village live in a valley. Communication between the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is known that the angles of depression from the repeater station to Wood Town and Green Village are 44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and Green Village are 1.35 km and 1.04 km, respectively. a Find the vertical height, to the nearest metre, between the repeater station and: ii Green Village b Find the difference in height between the two communities, to the nearest metre. i Wood Town

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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9 The communities of Wood Town and Green Village live in a valley. Communication between
the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is
known that the angles of depression from the repeater station to Wood Town and Green Village are
44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and
Green Village are 1.35 km and 1.04 km, respectively.
Find the vertical height, to the nearest metre, between the repeater station and:
i Wood Town
b Find the difference in height between the two communities, to the nearest metre.
a
ii Green Village
Transcribed Image Text:9 The communities of Wood Town and Green Village live in a valley. Communication between the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is known that the angles of depression from the repeater station to Wood Town and Green Village are 44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and Green Village are 1.35 km and 1.04 km, respectively. Find the vertical height, to the nearest metre, between the repeater station and: i Wood Town b Find the difference in height between the two communities, to the nearest metre. a ii Green Village
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