Practice 5.5: Problem Solving with the Pythagorean Theorem and Trigonometry A Use the given information to solve each problem. Round your answers to the nearest whole number. 1. A 6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole, the angle of elevation is 39°. Find the height of the flagpole to the nearest foot. 6 feet 50 feet Flagpole 2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find the vertical distance between the kite and the point at which the boy is holding the string. 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation must the ladder be positioned in order to reach the top of the wall?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
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Practice 5.5: Problem Solving with the Pythagorean Theorem and Trigonometry A
Use the given information to solve each problem. Round your answers to the nearest whole number.
1. A 6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole,
the angle of elevation is 39º. Find the height of the flagpole to the nearest foot.
6 feet
39⁰
50 feet
Flagpole
2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find the
vertical distance between the kite and the point at which the boy is holding the string.
3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation
must the ladder be positioned in order to reach the top of the wall?
Transcribed Image Text:Practice 5.5: Problem Solving with the Pythagorean Theorem and Trigonometry A Use the given information to solve each problem. Round your answers to the nearest whole number. 1. A 6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole, the angle of elevation is 39º. Find the height of the flagpole to the nearest foot. 6 feet 39⁰ 50 feet Flagpole 2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find the vertical distance between the kite and the point at which the boy is holding the string. 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation must the ladder be positioned in order to reach the top of the wall?
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