Similarity and altitudes in right triangles Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

First I suggest that you write out the all the proportions which govern the 3 right triangles involved.

Once you do that you will find this one:

PQ/PS =PR/PQ

PR=PS+SR

Substitution will give you this quadratic:PQ2=PS2+PS*SR

144=PS2+7PS which has only one solution which make sense, namely 9

Then QS=sqrt(144-81)

Step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .