PLEASE HELP! THANKS! AB=85m. Find the length of CD⎯⎯⎯⎯.
2 answers:
<h2>
Answer: </h2>
The length of CD is:
Option: B 5.9 m
<h2>
Step-by-step explanation: </h2>
We need to use the trigonometric ratio in order to find the value of the length of CD.
In right angled triangle CBA we have:
Also, in right angled triangle i.e. ΔABD we have:
which to the nearest tenth is:
Hence, option: B is the correct answer.
Answer:
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
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