Look at the figure below.

what is the length, in units, of segment cd?

a) 6
b) 8.5
c) 7
d) 9.8

Option D

Step-by-step explanation:

Step 1

In the right triangle ABC

Find the measure of angle BAC

Step 2

In the right triangle ABC

Find the measure of angle ACB

Remember that

The sum of the internal angles of a triangle is equal to

so

m∠ACB=

Step 3

In the right triangle ADC

Find the measure of angle ACD

m∠ACD+m∠ACB= > by complementary angles

m∠ACD=

Step 4

In the right triangle ADC

Find the measure of segment CD

substitute the values

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)