Answer:
<em>Answer rounded to nearest tenth:</em>

<em>Distance between the two points in exact form:</em>

Step by step explanation:
Given two points:
- (59.5, 34.2) and (15.3, 14.9)
To Find:
- The distance between the two points
Solution:
Recall the formulae that is used to find Distance from two points:

According to the Question, on the formula,
- (x_2 , x_1) = (15.3,59.5)
- (y_2 , y_1) = (14.9,34.2)
So substitute them on the formula of distance:

Simplify now using PEMDAS:
- P = parentheses
- E = exponents
- M = multiplication
- D = Division
- A = Addition
- S = subtraction
First subtract the integers inside the parentheses which is inside the radical:

Solve for exponents:

Add the integers inside the radical:

It could be rewritten as:

Hence,the distance between two points is
OR
Actual answer would be 48.2 rounded to nearest tenth,as per the question.