Question

In the drawing below, label the distances given for the peak you chose

Answer 1

notice the larger triangle is a right-triangle, and the small one is also a right-triangle.  Also notice the "angle tickmark" on each.  So both angles have a pair of angles that are equal on each.

the triangles are similar by AA.

Answer 2

Answer: These two triangles are similar to each other.

Step-by-step explanation:

Let AB represents the height of the peak, (where A is the top point ) CD represents height of Taylor and M represents the position of the mirror,

( Shown in the below diagram )

By the diagram,

$\angle ABM\cong \angle CDM$ ( Right angles )

$\angle AMB\cong \angle CMD$ ( By the given diagram )

Hence, by the AA similarity postulate,

$\triangle ABM \sim \triangle CDM$

⇒ Given two triangles are similar to each other.