Question

The solution for which of the following requires the use of an absolute value? A.Of the 100 marbles contained in a jar, there are 48+3 blue marbles. How many marbles are not blue? B.From a survey, local grocer found that 64% of her customers named apple as their favorite fruit.Out of the 110 people surveyed, how many preferred fruits other than apples? C.Eduardo ran a marathon(about 26.2 miles) in 5 hours and 22 minutes. What was his speed? D. Shari is standing 50 feet from a tree that is 100 feet tall. what is the distance between Shari’s foot and the top of the tree?

Answer 1

D. Shari is standing 50 feet from a tree that is 100 feet tall. what is the distance between Shari’s foot and the top of the tree

Explanation:

When we want to calculate the distance between Shari’s foot and the top of the tree, we apply the Pythagorean Theorem as follows.

`h^2=50^2+100^2\\h^2=12500\\h=\pm √(12500) \\h=\pm 111.8\\h=|\pm 111.8|\\h=111.8$ feet`

Recall, there is always a plum/minus sign before the square root symbol. This is as a result of the fact that:

`(-a)^2=a^2\\a^2=a^2`

However, since we are looking for distance, we ignore the negative sign by making use of the absolute sign.

The correct option is D