Question

7.7.4 Practice: Modeling: Similarity Theorems will give brainliest

Answer 1

Similar triangles may or may not be congruent

• The height of the peak is 72 feet
• The triangles are similar by AA similarity postulate

How to determine the similarity statement

First, we determine the height of the peak using the following equivalent ratios

P B :  B M = T F : F M

So, we have:

$PB : 20ft= 6ft : 1ft\ 8in$

Express the units in inches

$PB : 240in= 72in: 20in$

Express as fractions

$\frac{PB}{240} = \frac{72}{20}$

Multiply both sides by 240

$PB = \frac{72 * 240}{20}$

$PB = 864$

Express as feet

$PB = 72 feet$

So, the height of the peak is 72 feet

The ratio also means that the triangles are similar by AA similarity postulate

Read more about similar triangles at:

brainly.com/question/14285697