2.5.35 Question Help Find h as indicated in the figure. (Round to the nearest integer as needed.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![## Finding the Height \( h \) of the Triangle
### Problem Statement:
You are tasked with finding the height \( h \) as indicated in the provided figure.
### Figure Description:
The image depicts a right triangle with the following information:
- One side (base) is labeled as \( 895 \).
- One angle adjacent to the height \( h \) is marked as \( 20.2^\circ \) (α).
- Another angle adjacent to the same base segment and opposite \( h \) is \( 56.8^\circ \).
The angle measurements imply that the triangle in the image is a right-angled triangle where \( α + β + 90^\circ = 180^\circ \), with \( 56.8^\circ \) being the complementary angle to the smallest one within the triangle's configuration.
### Calculation:
You need to find \( h \). To proceed, we utilize trigonometric relationships:
For the given angle \( α = 20.2^\circ \):
\[ \tan(\alpha) = \frac{h}{\text{base}} \]
Plugging in the known values:
\[ \tan(20.2^\circ) = \frac{h}{895} \]
\[ h = 895 \times \tan(20.2^\circ) \]
Using a calculator to find \( \tan(20.2^\circ) \):
\[ \tan(20.2^\circ) ≈ 0.368 \]
\[ h = 895 \times 0.368 ≈ 329 \]
Round \( h \) to the nearest integer:
\[ h ≈ 329 \]
### Result:
\[ h = 329 \]
Ensure you round your answer to the nearest integer as stipulated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41774409-65e0-43ad-a43d-34f80707331e%2F3d7059cc-edcb-46a6-bd9c-53abd5b56e13%2Fr3824up_processed.jpeg&w=3840&q=75)
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