Asailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. he knows that the lighthouse is actually 60 feet tall. if it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it? 60 feet 120 feet 240 feet 480 feet 960 feet

480 ft

Step-by-step explanation:

We can use Similarity of Triangles.

           | lighthouse                                    

60 ft     |                                                     ruler

           |                     3 in |__        

                    x                                         2 ft

3 inches = 0.25 ft

60/0.25 = x/2

0.25x = 120

x = 120/0.25

x = 480 ft

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|