Ab=85m. find the length of cd.
a. 5.3
b. 5.9
c. 6.7
d. 4.5

Option B. 5.9 m

Step-by-step explanation:

step 1

Find the length of BC

we know that

tan(28°)=BC/AB

BC=(AB)tan(28°)

substitute values

BC=(85)tan(28°)=45.2 m

step 2

Find the length of BD

we know that

tan(31°)=BD/AB

BD=(AB)tan(31°)

substitute values

BD=(85)tan(31°)=51.1 m

step 3

Find the length of CD

we know that

CD=BD-BC

CD=51.1-45.2=5.9 m

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3