## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises - Page 81: 62

#### Answer

The distance from the assigned target would be 34.0 miles.

#### Work Step by Step

We can convert the angle of error to degrees: $\theta_e = 30'' = \frac{30}{3600}^{\circ} = \frac{1}{120}^{\circ}$ We can use the earth-moon distance $d$ to find the distance $x$ from the assigned target: $\frac{x}{d} = tan~\theta_e$ $x = (d)~tan~\theta_e$ $x = (234,000~mi)~tan~(\frac{1}{120})^{\circ}$ $x = 34.0~mi$ The distance from the assigned target would be 34.0 miles.

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