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)=(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)=(PM)/(LM) \\ \text{Tan(}\angle PLM)=(4)/(3) \end{gathered}`

Answer : c) 4/3