Question

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

(The figure is not drawn to scale.)


Which of the following choices is closest to the distance (in miles) between points A and B?

1. 3.46 miles
2. 5.66 miles
3. 6.32 miles
4. 7.75 miles

Answer 1

5.66 miles

Explanation:

a^(2)+b^(2)=c^(2)

2^(2)+b^(2)=6^(2)

4+b^(2)=36

4-4+b^(2)=36-4

b^(2)=32

sqr b^(2)=sqr 32

b=5.66

Answer 2

2) 5.66 miles

Explanation:

The way to solve this is the take the squares of 6 & 2, which are 36 & 4, & subtract them to get 32. Now take the square root of 32 and you will be left with a decimal of 5.656, round up to 5.66.