Answer: We should use the correct formula for tan α (which is opposite
leg over adjacent leg) tan α = 5/b
Step-by-step explanation:
See attached file
We must use the for equation of tan α = BC/AC
tan α = BC/ b tan α = 5/b tan 30⁰ = 1/√3
b = 5/√3 ⇒ b = 5/1.7320
b = 2.8868 cm
This question is based on the formula of tan x. Therefore, the value of b is 2.88 cm.
Given:
In triangle A B C, angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b.
We have to find the value of b.
According to the question,
By the formula of,
[tex]tan\; a = \dfrac{5}{b}[/tex]
Now, we have to use the expression:
[tex]tan\; a = \dfrac{BC}{AC}[/tex]
Therefore,
[tex]tan\; a = \dfrac{BC}{b}\\\\tan\; a = \dfrac{5}{b}\\\\tan\;30 ^0 =\dfrac{1}{\sqrt{3} } \\\\b= \dfrac{5}{\sqrt{3} } \\\\b= 2.88\; cm[/tex]
Therefore, the value of b is 2.88 cm.
For more details. please prefer this link:
https://brainly.com/question/1201366
