Question

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She

drove about another 75 km north to Dallas. What is the approximate air
distance from Pearland to Dallas, Texas?

Answer 1

The approximate distance from Pearland to Dallas, Texas is 167.7 km

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

`Hypotenuse^2=Perpendicular^2+base^2\\AC^2 = BC^2+AB^2\\AC^2 = 75^2+150^2\\AC=√(75^2+150^2)\\AC=167.70`

Hence the approximate distance from Pearland to Dallas, Texas is 167.7 km