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Chapter 1: Problem 42

Light rays from the Sun make a \(30^{\circ}\) angle to the vertical when seen from below the surface of a body of water. At what angle above the horizon is the Sun?

Short Answer

Expert verified
The angle above the horizon is the complementary angle to the given angle between the light rays from the Sun and the vertical. Thus, the angle above the horizon is \(60^{\circ}\), calculated as \(90^{\circ} - 30^{\circ}\).

Step by step solution

01

Identify the complementary angle

Since the angle between the light rays from the Sun and the vertical is 30 degrees, the complementary angle formed by the light rays and the horizontal is: Complementary angle = 90 - given angle.
02

Calculate the angle above the horizon

Substitute the given angle (30 degrees) in the complementary angle formula: Complementary angle = 90 - 30 = 60 degrees. So, the angle above the horizon is 60 degrees.

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Most popular questions from this chapter

Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of \(45.0^{\circ},\) and you observe the angle of refraction to be \(40.3^{\circ} .\) What is the index of refraction of the substance and its likely identity?

A parallel beam of light containing orange (610 nm) and violet (410 nm) wavelengths goes from fused quartz to water, striking the surface between them at a \(60.0^{\circ}\) incident angle. What is the angle between the two colors in water?

Under what conditions can light be modeled like a ray? Like a wave?

What is Brewster's angle for light traveling in water that is reflected from crown glass?

At what minimum angle will you get total internal reflection of light traveling in water and reflected from ice?
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