15 12 a 16. What is sin a? (write your answer as a decimal, round to 1 decimal place) What is cos a? (write your answer as a decimal, round to 1 decimal place) What is tan a? (write your answer as a decimal, round to 1 decimal place)
15 12 a 16. What is sin a? (write your answer as a decimal, round to 1 decimal place) What is cos a? (write your answer as a decimal, round to 1 decimal place) What is tan a? (write your answer as a decimal, round to 1 decimal place)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![### Trigonometric Ratios in a Right-Angle Triangle
#### Diagram:
The image provided represents a right-angle triangle with the following dimensions:
- Opposite side to angle \( a \): 12 units
- Adjacent side to angle \( a \): 9 units
- Hypotenuse: 15 units
#### Questions:
16. **What is sin \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\sin(a) = \frac{\text{Opposite side}}{\text{Hypotenuse}} = \frac{12}{15}
\]
Calculate the value and round to 1 decimal place.
17. **What is cos \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\cos(a) = \frac{\text{Adjacent side}}{\text{Hypotenuse}} = \frac{9}{15}
\]
Calculate the value and round to 1 decimal place.
18. **What is tan \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\tan(a) = \frac{\text{Opposite side}}{\text{Adjacent side}} = \frac{12}{9}
\]
Calculate the value and round to 1 decimal place.
This image and accompanying questions illustrate the use of basic trigonometric functions (sine, cosine, and tangent) in a right-angle triangle. By identifying the sides relative to the given angle, students can practice solving for these trigonometric ratios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F862b9fa7-38ef-42ad-9314-e47236df3348%2F9b327164-755b-4520-a76f-c390e69b33ae%2Fc213lb_processed.png&w=3840&q=75)
Transcribed Image Text:### Trigonometric Ratios in a Right-Angle Triangle
#### Diagram:
The image provided represents a right-angle triangle with the following dimensions:
- Opposite side to angle \( a \): 12 units
- Adjacent side to angle \( a \): 9 units
- Hypotenuse: 15 units
#### Questions:
16. **What is sin \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\sin(a) = \frac{\text{Opposite side}}{\text{Hypotenuse}} = \frac{12}{15}
\]
Calculate the value and round to 1 decimal place.
17. **What is cos \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\cos(a) = \frac{\text{Adjacent side}}{\text{Hypotenuse}} = \frac{9}{15}
\]
Calculate the value and round to 1 decimal place.
18. **What is tan \(a\)?** (write your answer as a decimal, round to 1 decimal place)
**Solution**:
\[
\tan(a) = \frac{\text{Opposite side}}{\text{Adjacent side}} = \frac{12}{9}
\]
Calculate the value and round to 1 decimal place.
This image and accompanying questions illustrate the use of basic trigonometric functions (sine, cosine, and tangent) in a right-angle triangle. By identifying the sides relative to the given angle, students can practice solving for these trigonometric ratios.
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