Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q. 48 (page 435)

(a)Convert the angle $32 掳 20^{'} 35^{''}$ to a decimal in degrees. Round the answer to two decimal places.
(b)Convert the angle $63.18 掳$ to $D 掳 M^{'} S^{''}$ form. Express the answer to the nearest second.

Short Answer

Expert verified

(a) The angle in degrees is $32.3397$

(b) The angle in DMS is $63 掳 10^{'} 48^{''}$

Step by step solution

Part (a) Step 1: Given information

Given the angle $32 掳 20^{'} 35^{''}$

Part (b) Step 2: Use conversion equivalents and calculate

Here

$I^{'} = (\frac{1}{60}) 1^{''} = {(\frac{1}{60})}^{'} = (\frac{1}{60} 路 \frac{1}{60})$

$32 掳 20^{'} 35^{''} = 32 掳 + 20^{'} (\frac{1}{60}) + 35^{''} (\frac{1}{60} 路 \frac{1}{60}) 32 掳 20^{'} 35^{''} = 32 掳 + 0.33 掳 + 0.0097 掳 32 掳 20^{'} 35^{''} 鈮� 32.3397$

Part (b) Step 1: Given information

Given the angle $63.18 掳$

Part (b) Step 2: Use conversion equivalents and calculate

Calculating, we get

$1 掳 = 60^{'} l^{'} = 60^{'}$

$63.18 掳 = 63 掳 + (0.18) 路 1 掳 63.18 掳 = 63 掳 + (0.18) 路 60^{'} 63.18 掳 = 63 掳 + 10 . 8^{'} 63.18 掳 = 63 掳 + 10^{'} + (0.8) 路 60^{''} 63.18 掳 = 63 掳 + 10^{'} + 48^{''} 63.18 掳 = 63 掳 10^{'} 48^{''}$

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91影视

(a)Convert the angle $32 掳 20^{'} 35^{''}$ to a decimal in degrees. Round the answer to two decimal places.
(b)Convert the angle $63.18 掳$ to $D 掳 M^{'} S^{''}$ form. Express the answer to the nearest second.

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (b) Step 2: Use conversion equivalents and calculate

Part (b) Step 1: Given information

Part (b) Step 2: Use conversion equivalents and calculate

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91影视

(a)Convert the angle32掳20'35''to a decimal in degrees. Round the answer to two decimal places.(b)Convert the angle 63.18掳to D掳M'S''form. Express the answer to the nearest second.

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (b) Step 2: Use conversion equivalents and calculate

Part (b) Step 1: Given information

Part (b) Step 2: Use conversion equivalents and calculate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Calculus

Probability and Statistics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

(a)Convert the angle $32 掳 20^{'} 35^{''}$ to a decimal in degrees. Round the answer to two decimal places.
(b)Convert the angle $63.18 掳$ to $D 掳 M^{'} S^{''}$ form. Express the answer to the nearest second.