The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented b
y PH in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards
Given the coordinates of the length of PH as P(2,55) and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.
D = √(x₂-x₁)²+(y₂-y₁)²
PH = √(32-2)²+(15-55)²
PH = √(30)²+(-40)²
PH = √900+1600
PH = √2,500
PH = 50
Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.
