(Score for Question 1: ___ of 10 points) Use the diagram to answer each part of the question. The image is not drawn to scale.

In the afternoon, the person (who is 1.8 m tall) casts a shadow that is 10 m. The distance along the ground from the person (H) to the tree (G) is 24 m, and the distance from the tree (G) to the building (F) is 150 m. Calculate the height of the tree and the building. Round answers to the nearest tenth of a meter and show all your work.

(Score for Question 2: ___ of 10 points)
The general form of a circle is given as x² + y² + 6x – 14y + 33 = 0

What are the coordinates of the center of the circle? Show all your work.
What is the length of the radius of the circle? Show all your work.



(Score for Question 3: ___ of 10 points)
Use the image to answer the following questions.

The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe? (Note:
What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.