Question

6 The diagram below shows right triangle LMP. Which ratio represents the tangent of ZPLM? L 5 3 M 4

Answer 1

In the given triangle:

The angle PLM :

$\text{ In triangle }LMP\colon$

The ratio fo tangent is express as the ratio of the Perpendicular of the right angle triangle with the base of the right angle triangle.

for angle PLM:

$\text{Tan(}\angle PLM)=\frac{PM}{LM}$

In the given figure, we have : PM = 4, LM = 3

Substitute the values of the tangent PLM:

$\begin{gathered} \text{Tan(}\angle PLM)=\frac{PM}{LM} \\ \text{Tan(}\angle PLM)=\frac{4}{3} \end{gathered}$

Answer : c) 4/3