As the sun rises higher in the sky, the depth of the diver below water reaches its limit. The *diver cannot keep diving* at this level for too long, because the sun gets higher and higher as the day goes on.

When the sun is high in the sky, it appears larger and more powerful. This is because there is more **solar energy present** in its presence.

How high is the sun above the horizon to a fisherman in a boat above the diver? This question can be asked when one sees a large fish and decides to try their luck at fishing it.

If one were to try fishing at this level of visibility, they would be extremely vulnerable to damage from sunlight, staining their clothes and equipment with **visible power levels**. This could potentially end their *fishing day early due* to this effect.

## Solve for one angle using the law of sines

The law of sines will allow you to find the angle above the diver, the sun, and the water. The sine function is also used in computers to solve problems.

The law of sines was discovered in 1633 by Christian de Brahmaguet, a French mathematician. It was later developed by Isaac Newton in his work on gravity.

In *underwater diving*, you must know how much angle your head, eyes, and *hands need* to sweep during a minute of underwater swimming. This is similar to how much angle your body needs to hold while swimming.

The law of sines can be applied to find the angle between any two objects or sites that **need angles measured** for them to be equal.

## Solve for the length of the opposite side using the law of sines

When the diver is at the maximum length of his or her pool, the sun is at its highest point in the sky and the fisherman is in his or her boat, the cosine law can help solve for the length of the *opposite side*.

Using a *long enough boat* and a *long enough diver*, when looking up at the sun, it *looks like* he or she is sitting in a boat above a diving fins. This is due to how long they look when they are underwater.

## Calculate the sun’s altitude using sin(sun altitude)/sin(horizon distance)

The angle between the sun and a horizon is called the sun’s altitude. The distance between the earth and the sun is called the sun’s altitude.

To calculate the elevation of the sun above the horizon, *use sin*(sun altitude)/sin(horizon distance). To calculate how high above sea level the ocean is, use cos(sun altitude).

To find out what time it is in your location, ask yourself how high is this object above you? If you answered higher, then it is noon in your location.

## Compare results with a calculator

A diver’s sun-dimming abilities are an **extremely rare event**, so it is best to use a calculator to compare your results to those of the diver.

The diver uses a timer or clock to track their time. He or she may have a calculator to compare times to other divers, but none for the diver’s time.

The fisherman uses a timer or clock and may have a calculator if he or she uses a computer. If not, there is no comparison!

Both fishermen should use the same equipment and wear the same gear at all times, so any differences in equipment or gear used can be eliminated as factors.

The **diver must wear protective gear** such as full- coverage goggles, an **emergency breathing device**, and footwear with enough space between toes and ankle for **emergency escape plan**.

## Fishermen use a special compass called a clinometer to measure this angle

The angle of the sun above the horizon to a fisherman in a boat above the diver is called the sun’s elevation. It is measured with a clinometer, a **small device** that looks like a barometer but which *measures angles*.

Angle measurements are not very precise, and he would not depend on this when diving, but for fishing it is very useful. After all, there are many days when the angle is high, so fishing can be enjoyable.

The maximum elevation of the sun on a day when visibility is good is about 20 degrees above the horizon. On days when visibility is poor, the elevation can be as low as 10 degrees.

To determine your height above *sea level* or if you want to **try angling** for fish? Then get yourself a clinometer.