Question

Hawick is 1515 miles south of Abbotsford, and Kelso is 1717 miles east of Abbotsford. What is the distance from Hawick to Kelso? Round your answer to the nearest tenth of a mile.

Answer 1

The answer is 26.7

Explanation:

I got it right from Khan Academy. First you get 22.67 miles but then you have to round it to the nearest tenth to get 22.7

Answer 2

As per the statement:

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

Let H represents Hawick , A represents Abbotsford and K represents Kelso

See the diagram as shown below:

Distance of AH = 15 miles

Distance of AK = 17 miles.

We have to find the distance HK:

Using Pythagoras theorem;

`\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2`

then;

`\text{HK}^2 = 15^2+17^2 = 225 + 289 = 514`

or

`HK = √(514) =22.671581` miles.

Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles