Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth. 15. a = 1.1, b = 6 16. a = 8, c = 17 17. a = 9, b = 40 18. b = 2.4, c 7.4 Dotormin
Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth. 15. a = 1.1, b = 6 16. a = 8, c = 17 17. a = 9, b = 40 18. b = 2.4, c 7.4 Dotormin
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,...
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
Transcribed Image Text:### Right Triangle Problems and Real-life Applications
#### Using the Triangle at the Right
Find the missing side length. If necessary, round to the nearest tenth.
1. **Problem 15**
- \( a = 1.1 \), \( b = 6 \)
2. **Problem 16**
- \( a = 8 \), \( c = 17 \)
3. **Problem 17**
- \( a = 9 \), \( b = 40 \)
4. **Problem 18**
- \( b = 2.4 \), \( c = 7.4 \)
_Drawn Triangle Diagram Key:_
- \( a \): adjacent side length
- \( b \): opposite side length
- \( c \): hypotenuse
#### Determine if Given Lengths can be Side Lengths of a Right Triangle
1. **Problem 23**
- \( 15 \) ft, \( 36 \) ft, \( 39 \) ft
2. **Problem 24**
- \( 12 \) m, \( 60 \) m, \( 61 \) m
3. **Problem 25**
- \( 13 \) in., \( 35 \) in., \( 38 \) in.
4. **Problem 26**
- \( 16 \) cm, \( 63 \) cm, \( 65 \) cm
### Sketch a Picture and Solve it
1. **Problem 39: Physics**
- If two forces pull at right angles to each other, the resultant force can be represented by the diagonal of a rectangle, as shown in the diagram. This diagonal is a hypotenuse of a right triangle. A 50-lb force and a 120-lb force combine for a resultant force of 130 lb. Are the forces pulling at right angles to each other? Explain.
- _Diagram_:
- Two perpendicular forces, Force A (horizontal) and Force B (vertical), with a diagonal representing the Resultant Force.
2. **Problem 40**
- A rectangular box is 4 cm wide, 4 cm tall, and 10 cm long. What is the diameter of the smallest circular opening through which the box will fit? Round to the nearest tenth of a centimeter.
- _Note_: Determining the diameter of
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