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Trigonometry Problem Solving: Multi-step Word Problems, Exercises of Trigonometry

University of Luxemburg (UL)Trigonometry

A set of multi-step trigonometry word problems for students to practice solving. The problems involve finding angles and lengths of guy wires, lines of sight, fields, ramps, and ladders. Students are required to round lengths to the nearest integer and angle measures to the nearest tenth.

Typology: Exercises

2021/2022

Uploaded on 08/05/2022

char_s67
char_s67 🇱🇺

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Name: _____________________________________________________ Date: ________
T.I.M.
9.6 Multi-step trig word problems.
Directions: Solve the following problems. Round lengths to the nearest
integer. Round angle measures to the nearest tenth.
1) What is the angle formed between the guy wire and the ground?
How long is the guy wire?
2) What is the length of the line of sight from the man to the helicopter?
What is the angle of elevation from the man to the helicopter?
3) A field has a length of 12 m and a diagonal of 13 m. What is the angle formed between the
diagonal and the width of the field What is the width?
12 m
13 m
pf2

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Name: _____________________________________________________ Date: ________ T.I.M. 9.6 Multi-step trig word problems. Directions: Solve the following problems. Round lengths to the nearest integer. Round angle measures to the nearest tenth.

  1. What is the angle formed between the guy wire and the ground? How long is the guy wire?
  2. What is the length of the line of sight from the man to the helicopter? What is the angle of elevation from the man to the helicopter?
  3. A field has a length of 12 m and a diagonal of 13 m. What is the angle formed between the diagonal and the width of the field What is the width? 12 m 13 m
  1. A ramp is 18 m long. If the horizontal distance of the ramp is 17m, what is the vertical distance? What is the angle of elevation of the ramp?
  2. A 20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58o^ with the ground. Find the vertical distance from the top of the ladder to the ground and the horizontal distance from the ladder to the base of the wall.