Question

Sarah bicycles 4 kilometers west to get from her house to school. After school, she bicycles 9 kilometers north to her friend Bonnie's house. How far is Sarah's house from Bonnie's house, measured in a straight line? If necessary, round to the nearest tenth.

Answer 1

Answer:The distance of Sarah's house from Bonnie's house is 7.2 kilometers.

Explanation:

The right angle BHS formed is shown in the attached photo. Point H represents Sarah's house. Point S represents the school. Point B represents Bonnie's house. The distance of Sarah's house from Bonnie's house is x kilometers. To determine x, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = adjacent side^2 + opposite side^2

Hypotenuse = x kilometers

Opposite side = 9 kilometers

Adjacent side = 4 kilometers.

Therefore

x^2 = 9^2 + 4^2 = 36 + 16

x^2 = 52

x = √52 = 7.2 kilometers