Question

Austin's eye-level height is 120 ft above sea level, and Anna's eye level height is 270 ft above sea level. How much further can Anna see to the horizon?

Answer 1

Answer:

C

Step-by-step explanation:

$Austin = \sqrt{ \frac{3h}{2} } \\ \\ Austin = \sqrt{ \frac{3(120)}{2} } \\ \\ Austin = \sqrt{3(60)} \\ \\ Austin = \sqrt{180} \\ \\ Austin = 6 \sqrt{5}$

$Ana = \sqrt{ \frac{3h}{2} } \\ \\ Ana = \sqrt{ \frac{ 3(270)}{2} } \\ \\ Ana = \sqrt{ 3(135) } \\ \\ Ana = \sqrt{405} \\ Ana = 9 \sqrt{5}$

How much further can Anna see to the horizon?

$Ana - Austin = 9 \sqrt{5} - 6 \sqrt{5} \\ Ana - Austin = 3 \sqrt{5}$