Answer:
The approximate distance from Pearland to Dallas, Texas is 167.7 km
Step-by-step explanation:
Refer the attached figure
Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas.
Distance between Pearland, to Houston, Texas i.e. AB = 150 km
She drove about another 75 km north to Dallas.
Distance between Houston to Dallas BC = 75 km
We are supposed to find the approximate distance from Pearland to Dallas, Texas i.e. AC
We will use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+base^2\\AC^2 = BC^2+AB^2\\AC^2 = 75^2+150^2\\AC=\sqrt{75^2+150^2}\\AC=167.70[/tex]
Hence the approximate distance from Pearland to Dallas, Texas is 167.7 km
