# Chapter 2 - Section 2.3 - Solving Right Triangles - 2.3 Problem Set - Page 80: 40

$A = 34˚$

#### Work Step by Step

1. Find the height of the triangle, Let $x =$ height of the triangle $tan(45) = \frac{x}{2}$ $x = 2tan(45)$ by GDC / calculator $x = 2.0$ units 2. Find $A$ $tan(A) = \frac{2}{3}$ $A = tan^{-1}(\frac{2}{3})$ $A = 33.6900...˚$ $A = 34˚$

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