Help me out with 2.7.4 Practice: Similarity Theorems!! Your friend Tyler is preparing to climb a rock face and wants to figure out how far he will need to climb to reach one of three different peaks. You remember a trick you can use to help him out. You realize that if you place a small mirror on the ground and move it to where Tyler can see the reflection of the peak in the mirror, then the angles from the mirror to Tyler and from the mirror to the peak are congruent. Use what you have learned about triangles, the mirror, Tyler, and the peak to find the height of the peak.
1. Which peak did you select?
2. In the drawing below, label the distances given for the peak you chose.
3. According to the information given, what can you determine about the triangles formed by Tyler, the mirror, and the peak? How do you know the relationship between the two triangles?
4. to find the height of the peak, list the corresponding sides and angles of the two triangles you and tyler have created.
5. which segment of the triangle will give you the height of your peak> write the equation fro the proportion that will allow you to find the height.
6. Use your equation to find how high tyler will have to climb to scale the peak
7.label the drawing with the known distances
8. what do you know about triangles PDX and CRX? justify your answer.
9. find PD< the north south distance across the pond.