Question

An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.

I will mark brainliest

Answer 1

Answer:

• 99.25 miles

Step-by-step explanation:

The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.

The distance is:

• $\sqrt{75^2+65^2} = \sqrt{9850} = 99.25$ miles (rounded)

Answer 2

• P=75
• B=65

Using Pythagorean theorem

$\\ \rm\longmapsto H^2=P^2+B^2$

$\\ \rm\longmapsto H^2=75^2+65^2$

$\\ \rm\longmapsto H^2=9850$

$\\ \rm\longmapsto H=\sqrt{9850}$

$\\ \rm\longmapsto H=99.247$

$\\ \rm\longmapsto H=99.25miles$