Find the missing length, include UNITS in your answer. 4. 6 mi 7.7 mi ? mi Area = 48 mi?
Find the missing length, include UNITS in your answer. 4. 6 mi 7.7 mi ? mi Area = 48 mi?
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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![### Problem Statement
Find the missing length, include UNITS in your answer.
### Given Information
- **Side Length**: \(7.7 \, \text{mi}\)
- **Height**: \(6 \, \text{mi}\)
- **Area**: \(48 \, \text{mi}^2\)
### Diagram Description
The image features a parallelogram with the following annotated dimensions:
- One side length labeled \(7.7 \, \text{mi}\).
- A height (perpendicular distance) from the base to the opposite side labeled \(6 \, \text{mi}\).
- A missing base length represented with a question mark (\(? \, \text{mi}\)).
### Calculation
To find the missing base length (\( ? \, \text{mi}\)), use the formula for the area of a parallelogram, which is given by:
\[ \text{Area} = \text{Base} \times \text{Height} \]
Given:
\[ \text{Area} = 48 \, \text{mi}^2 \]
\[ \text{Height} = 6 \, \text{mi} \]
Rearrange the formula to solve for the base:
\[ \text{Base} = \frac{\text{Area}}{\text{Height}} = \frac{48 \, \text{mi}^2}{6 \, \text{mi}} = 8 \, \text{mi} \]
### Answer
The length of the missing base is \( 8 \, \text{mi} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87804e42-439c-4b15-9fec-573b7a02348d%2F6abc8349-2a59-46eb-bc5e-8b93d3e36912%2Fow3kav_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Find the missing length, include UNITS in your answer.
### Given Information
- **Side Length**: \(7.7 \, \text{mi}\)
- **Height**: \(6 \, \text{mi}\)
- **Area**: \(48 \, \text{mi}^2\)
### Diagram Description
The image features a parallelogram with the following annotated dimensions:
- One side length labeled \(7.7 \, \text{mi}\).
- A height (perpendicular distance) from the base to the opposite side labeled \(6 \, \text{mi}\).
- A missing base length represented with a question mark (\(? \, \text{mi}\)).
### Calculation
To find the missing base length (\( ? \, \text{mi}\)), use the formula for the area of a parallelogram, which is given by:
\[ \text{Area} = \text{Base} \times \text{Height} \]
Given:
\[ \text{Area} = 48 \, \text{mi}^2 \]
\[ \text{Height} = 6 \, \text{mi} \]
Rearrange the formula to solve for the base:
\[ \text{Base} = \frac{\text{Area}}{\text{Height}} = \frac{48 \, \text{mi}^2}{6 \, \text{mi}} = 8 \, \text{mi} \]
### Answer
The length of the missing base is \( 8 \, \text{mi} \).
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