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.
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°.
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve it now I upvote
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning