1. Circles and segments create the many relationships addressed in the theorems throughout this unit. Use those theorems and the
information given for the following diagram to find each indicated measure. Show all your work. Note that the importance of justifications for your answers is equal to or greater than the importance of simply the answers in the earning of points.
1 answer:
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Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft