Help asap 100 points There is a way to estimate the height of a tree without having to climb it with a tape measure. Instead, place a
mirror on the ground and stand where you can see the reflection of the top of the tree in the mirror.
1: Use this example to demonstrate:
Points M and G are labeled and represent the Mirror and the point where the tree touches the ground.
a: Label points: T at the top of the tree, E at the person’s eye level, and F at the person’s feet
b: Explain how you can create two similar triangles using the AA similarity postulate. You can sketch the triangles
separately if you would like (hint: if the person and tree stand up straight, they form 90-degree angles at the
ground):
c: If EF = 60 inches, FM = 80 inches, and MG = 200 inches, how tall is the tree? Show all work:

2: Here is a way to use similar triangles to estimate the width of a river. Kayla marks some points on the ground.
Point A is directly across the river from point G (tree). She walks 15 feet and marks point B, then walks 4 more feet
and marks point C. (You might want to label those distances in the picture) Kayla turns exactly 90 degrees and
walks until he makes a straight line from point D through point B and straight to G.
a: First, verify the triangles are indeed similar by completing this mini-proof:
Statement Reason
∠_ ≅ ∠_ All right angles are congruent
∠DBC ≅ ∠GBA _
△DBC is similar to △GBA _
b: If Kayla measures 3 feet from point C to point D, use similar triangles to determine the width of the river.
Show Work: