Diagram 6 shows a rectangle KLMN.

It is given that tan x = 0.8. Find the length, in cm, of LM.
A 16
B 20
C 24
D 26

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Diagram 6 shows a rectangle KLMNIt is given that tan x 08 Find the length in cm of LM A 16 B 20 C 24 D 26HELP ME PLS class=

Respuesta :

Answer:

LM = 24 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle to find JL

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )

JL = 8

Then

LM = JL + JM = 8 + 16 = 24 cm