## Trigonometry (10th Edition)

Published by Pearson

# Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 18: 59

500 m; 700m

#### Work Step by Step

1. This is the ratio of the two shortest sides of the similar triangle. Reduced to make easier to solve equations $\frac{4}{400}=\frac{1}{100}$ 2. Then construct all three ratios to find unknown sides $\frac{1}{100}=\frac{5}{a}=\frac{7}{b}$ 3. Cross-multiplication --> Solutions : a= 500 b= 700

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