Question

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

HELP ME PLS​

Answer 1

LM = 24 cm

Explanation:

Using the tangent ratio in the right triangle to find JL

tan x =
`(opposite)/(adjacent)` =
`(JL)/(KL)` =
`(JL)/(10)` = 0.8 ( multiply both sides by 10 )

JL = 8

Then

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