Question

Smithville is 30 miles due south of Jonestown, and Brighton is 72 miles due east of Smithville. What is the distance from Jonestown to Brighton in miles?

Answer 1

To find the distance from Jonestown to Brighton, use the Pythagorean Theorem.

Step-by-step explanation:

To find the distance from Jonestown to Brighton, we need to use the Pythagorean Theorem. First, we find the distance between Smithville and Brighton. This can be found using the distance formula: d = sqrt((72)^2 + 30^2). Plugging in the values, we get d = sqrt(5184 + 900) = sqrt(6084) = 78.

So, the distance from Jonestown to Brighton is 78 miles.

Answer 2

Answer: 78 miles

Step-by-step explanation:

Hi, since the distances form a right triangle ( see attachment) we have to apply the Pythagorean theorem:

c2 = a2 +b2

Where c is the hypotenuse (the longest side) and a and b are the other two sides of the triangle.

In this case the hypotenuse is the distance from Jonestown to Brighton (x)

Replacing with the values given:

x2 = 30^2 + 72 ^2

x2 = 900+5184

x2=6084

x = √6084

x = 78 miles