Question

If you construct a line perpendicular to Line A given by y=22 through S(1,5) not on the line y =22 find the distance from s to line A

A.23
B.17
C.27
D.21

Answer 1

i think its B 17 but im not 100% sure

Answer 2

Hence, the distance between S to line A is: 17 units.

Hence, option B is true. (B. 17 ).

Explanation:

It is said that:

You construct a line perpendicular to Line A given by y=22 through S(1,5) not on the line y =22.

i.e. we have to find the distance between the point P(1,22) On the line and S(1,5) which is not the line.

We know that the distance between two points A(a,b) and B(c,d) is given as:

`√((c-a)^2+(d-b)^2)`

Here we have (a,b)=(1,22) and (c,d)=(1,5)

so, the distance between the two points is:

`√((1-1)^2+(22-5)^2)\\\\=√(0+17^2)\\\\=√(17^2)\\\\`

`=17`

Hence, the distance between S to line A is: 17 units.

Hence, option B is true.