A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof. The top of the cross on the tower is 14.6 m away from the boy's head (eyes). If the boy has to raise his eyes through an angle of 31° in order to see the top of the roof, calculate: a) the angle through which the boy must raise his eye to see the top of the cross on the tower, correct to the nearest degree. b) the height of the top of the cross from the ground, correct to one decimal place. c) the height of the church building, correct to one decimal plaçe.

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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A boy is 1.5 m tall standing 12 m away from
a church building which has a tower on top
of its roof. The top of the cross on the tower
is 14.6 m away from the boy's head (eyes).
If the boy has to raise his eyes through an
angle of 31° in order to see the top of the
roof, calculate:
a) the angle through which the boy must
raise his eye to see the top of the cross
on the tower, correct to the nearest
degree.
b) the height of the top of the cross from
the ground, correct to one decimal place.
c) the height of the church building, correct
to one decimal plaçe.
Transcribed Image Text:A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof. The top of the cross on the tower is 14.6 m away from the boy's head (eyes). If the boy has to raise his eyes through an angle of 31° in order to see the top of the roof, calculate: a) the angle through which the boy must raise his eye to see the top of the cross on the tower, correct to the nearest degree. b) the height of the top of the cross from the ground, correct to one decimal place. c) the height of the church building, correct to one decimal plaçe.
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