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The image contains a mathematical problem set about a sundial (Solur) from Egypt, written in Danish. Let's break down the content:

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**Title:** Sundial from Egypt ("Solur fra Egypten")

The introduction discusses how ancient Egyptians used sundials to measure time, where the sundial’s shadow would change depending on the time of day.

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### **Problem Breakdown:**
There are two diagrams:
1. **Tegning 1** shows a sundial and how its shadow changes during the day.
2. **Tegning 2** shows a triangle where the sundial creates a shadow, which is being analyzed for length and angle.

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### **Questions:**

1. **Question 5.1** asks: *What is the angle, the slope angle?* ("Hvad er vinkel a, hvis vinklen v er 46°?").

2. **Question 5.2** asks: *What is the length of the shadow when the angle is 42°?* ("Hvor stor er skyggen længde, hvis vinklen v er 42°?").

3. **Question 5.3** asks for an explanation of how the Egyptians calculated time using the length of the shadow. ("Forklar, hvordan man kan bruge længden af skyggen til at beregne skyggen længde").

4. **Question 5.4** asks to calculate the shadow length at noon when the sun’s height is 10° over the horizon. ("I Egypten er der skygger på andre tider af dagen, når v=10°").

5. **Question 5.5** asks to investigate the relationship between the length of the shadow and the time of day. ("Undersøg om skyggens længde ændrer sig lige meget fra time til time").

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Sundial from Egypt (Solur fra Egypten): Various mathematical questions regarding sundials, angles, and shadows, asking for angle calculations, shadow length determination, and an analysis of how the length of the shadow changes over time.

Explore the ancient Egyptian method of using sundials to measure time with shadow lengths and angles. This problem involves calculating angles and shadow lengths using trigonometric principles and analyzing how shadow length changes throughout the day. Ideal for Grades 7-9.

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