Chapter 12.5, Problem 9OE

(a)

To determine

Give the angle $42°13\text{'}21"$ to the nearest $10\text{'}$

Answer to Problem 9OE

  $42°10\text{'}$

Explanation of Solution

Given:

The angle is $42°13\text{'}21"$

Calculation:

To convert the given angle in nearest to $10\text{'}$ , we need to eliminate round the given minutes and seconds.

Since given are $13\text{'}21"$ , so it will round to $10\text{'}$ rather than $15\text{'}$ .

So, nearest minutes of $42°13\text{'}21"$ is $42°10\text{'}$ .

(b)

To determine

Give the angle $140°9\text{'}$ to the nearest $10\text{'}$

Answer to Problem 9OE

  $140°10\text{'}$

Explanation of Solution

Given:

The angle is $140°9\text{'}$ .

Calculation:

To convert the given angle in nearest to $10\text{'}$ , we need to eliminate round the given minutes and seconds.

Since given are $9\text{'}$ , so it will round to $10\text{'}$ rather than $5\text{'}$ .

So, nearest minutes of $140°9\text{'}$ is $140°10\text{'}$ .

(c)

To determine

Give the angle $0°11\text{'}59"$ to the nearest $10\text{'}$

Answer to Problem 9OE

  $0°10\text{'}$

Explanation of Solution

Given:

The angle is $0°11\text{'}59"$ .

Calculation:

To convert the given angle in nearest to $10\text{'}$ , we need to eliminate round the given minutes and seconds.

Since given are $11\text{'}59"\approx 12\text{'}$ , so it will round to $10\text{'}$ rather than $15\text{'}$ .

So, nearest minutes of $0°11\text{'}59"$ is $0°10\text{'}$ .