Question

What is the distance between the points (59.5, 34.2) and (15.3, 14.9)? Enter your answer rounded to the nearest tenth (0.1).

Answer 1

Answer:

Answer rounded to nearest tenth:

$\rm \: Distance \boxed { \approx 48.20}$

Distance between the two points in exact form:

$\boxed{\rm \: Distance = \sqrt{2326.19}}$

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:

$\rm \: Distance = \sqrt{( x_{2} - x_{1}) {}^{2} +(y_{2} -y_{1} ) {}^{2} }$

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:

$\rm \: Distance = \sqrt{(15.3 - 59.5) {}^{2} + (14.9 - 34.2) {}^{2} }$

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:

$\rm \: Distance = \sqrt{ ( - 44) {}^{2} + ( - 19.3) {}^{2} }$

Solve for exponents:

$\rm \: Distance = \sqrt{1953.64 + 372.49}$

Add the integers inside the radical:

$\boxed{\rm \: Distance = \sqrt{2326.19}}$

It could be rewritten as:

$\rm \: Distance \boxed{≈48.20}$

Hence,the distance between two points is

• $\boxed{\rm \: Distance = \sqrt{2326.19}}$

OR

• $\rm \: Distance \boxed{≈48.20}$

Actual answer would be 48.2 rounded to nearest tenth,as per the question.

Answer 2

Answer:

48.2

Step-by-step explanation:

√(x2-x1)²+(y2-y1)²

√(15.3-59.5)² +(14.9-34.2)²

√(-44.2)² + (-19.3)²

√1953.64+372.49

√2326.13

48.2