0.1093 + (16° 43' 38.44"- 16° 33' 43") x ((0.1129-0.1093 )/(16° 55' 41"-16° 33' 43")) 

To solve the expression:

\[
0.1093 + \left( 16^\circ 43' 38.44'' - 16^\circ 33' 43'' \right) \times \left( \frac{0.1129 - 0.1093}{16^\circ 55' 41'' - 16^\circ 33' 43''} \right)
\]

### Step-by-step approach:

1. **Convert all angle values (degrees, minutes, seconds) to decimal degrees.**
   - \( 16^\circ 43' 38.44'' \

0.1093 + (16° 43' 38.44"- 16° 33' 43") x ((0.1129-0.1093 )/(16° 55' 41"-16° 33' 43"))

Solve the trigonometric expression involving angle conversions and linear interpolation. This example demonstrates how to convert degrees, minutes, and seconds into decimal degrees, followed by applying linear interpolation to compute the final value.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation