Question

Which of the following is a correct tangent ratio for the figure?Question 12 options:A) tan(8°) = 24∕76B) tan(76°) = 24∕8C) tan(76°) = 8∕24D) tan(24°) = 76∕8

Answer 1

SOLUTION:

We are to identify the correct tangent ratio for the given figure.

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle,

In the given figure, the opposite side (to the concerned angle) is 24 units and the adjacent side is 8 units.

$\begin{gathered} \tan 76^0\text{ = }\frac{Opp}{\text{Adj}}\text{ = }\frac{24}{8} \\ \\ \tan 76^0=\text{ }\frac{24}{8} \end{gathered}$