The value of a is 5, the value of b is 5/2 if the triangle is a right angle triangle option (B) is correct.
What is the trigonometric ratio?
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
From the tan ratios:
[tex]\rm tan30 = \dfrac{b}{\dfrac{5\sqrt{3}}{2} }[/tex]
[tex]\rm \dfrac{1}{\sqrt{3} } = \dfrac{b}{\dfrac{5\sqrt{3}}{2} }[/tex]
b = 5/2
From the cos ratio:
[tex]\rm cos30 = \dfrac {\dfrac{5\sqrt{3}}{2}}{a}[/tex]
[tex]\rm \dfrac{\sqrt{3}}{2}= \dfrac {\dfrac{5\sqrt{3}}{2}}{a}[/tex]
a = 5
Thus, the value of a is 5, the value of b is 5/2 if the triangle is a right angle triangle option (B) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
