(Solved): A person is standing at the edge of the water and looking out at the ocean (see figure). The heigh ...

A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is \( h=1.6 \mathrm{~m} \), and the radius of the Earth is \( R=6.38 \times 10^{6} \mathrm{~m} \). (a) How far is it to the horizon? In other words, what is the distance \( d \) from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is \( 90^{\circ} \).) (b) Express this distance in miles. 64 The figure shows a person standing on the earth and looking at the horizon. \( \mathrm{R} \) is the radius of the earth and \( d \) is the distance from the person's eyes to the horizon which forms a right angle at the horizon. This forms a right triangle with the length of the hypotenuse \( \mathrm{R}+\mathrm{h} \), where \( \mathrm{h} \) is the height of the person's eyes above the earth. (a) Number Units (b) Number Units