Question

3. Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is given by the function D(h) = V2rh+ h2 where r = 3958.8 mi is the radius of the earth and D and h measured in miles. Pro How far can you see from the top of Mt Pinatubo, 1486 meters (0.9233) above the ground? ​

Answer 1

Given:

The curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is given by the function $D(h) = V_{2}rh+ h_{2}$ where $r = 3958.8$.

To find:

How far can you see from the top of Mt Pinatubo, 1486 meters (0.9233) above the ground? ​

Step-by-step explanation:

$D(h)=\sqrt{2rh+h^{2}}$

where $r =3960$ mi is the radius of the earth and

D and h are measured in miles.

$d=\frac{1486}{3958}$

$=0.3754 m$

$D(h)=\sqrt{(0.9233+0.3754)+0.3754^{2}}$

$D(h)=1.28m$.

Answer:

Therefore ,the far can you see from the top of Mt Pinatubo, $1486$ meters $(0.9233)$ above the ground is 1.28m.