Groundhog Day: Shadows and Trigonometry Adventure

Last updated 9 months ago

5 questions

Required

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Groundhog Day: Shadows and Trigonometry Adventure

Last updated 9 months ago

5 questions

Required

Question 1

If the angle of elevation of the sun is $30^\circ$ and a groundhog is $0.5$ meters tall, what is the length of its shadow?

$1.0 \text{ m}$

$0.87 \text{ m}$

$0.5 \text{ m}$

$1.5 \text{ m}$

Required

Question 2

If an object is $2$ meters tall and the angle of elevation is $45^\circ$, the length of its shadow will be equal to its height.

True

False

Required

Question 3

The shadow of a $1$ meter tall stick is $1.732$ meters long. What is the angle of elevation of the sun?

Required

Question 4

Which of the following angles will result in the shadow being longer than the height of a $3$ meter tall object? Select two.

$60^\circ$

$45^\circ$

$30^\circ$

$75^\circ$

Required

Question 5

Calculate the length of a shadow for a $2$ meter tall groundhog when the angle of elevation of the sun is $60^\circ$. Show all your calculations and explain your approach.

Question 1

If the angle of elevation of the sun is $30^\circ$ and a groundhog is $0.5$ meters tall, what is the length of its shadow?

$1.0 \text{ m}$

$0.87 \text{ m}$

$0.5 \text{ m}$

$1.5 \text{ m}$

Question 2

If an object is $2$ meters tall and the angle of elevation is $45^\circ$, the length of its shadow will be equal to its height.

True

False

Question 3

The shadow of a $1$ meter tall stick is $1.732$ meters long. What is the angle of elevation of the sun?

Question 4

Which of the following angles will result in the shadow being longer than the height of a $3$ meter tall object? Select two.

$60^\circ$

$45^\circ$

$30^\circ$

$75^\circ$

Question 5

Calculate the length of a shadow for a $2$ meter tall groundhog when the angle of elevation of the sun is $60^\circ$. Show all your calculations and explain your approach.