Question

D
2 PV
ULTER 42%
Subject Test
Nate
You are attempting question 5
Calculate the number of people in labor force, the population is 100, among that 60
people have jobs, 10 are in search of job and 15 people who are retired?
a) 30
b) 70
c) 85
d) 90
Answer
CA​

Answer 1

Explanation:

$\huge{\tt\red{Answer}}$

$\tt\orange{Given}$

$\bullet\:\tt {Seg\: OL\: is\: perpendicular\: to\: seg\: AB.}\\\\ \bullet\:\tt {AB \:=\: 6cm}\\\\\bullet\:\tt {OA\:=\:5cm}$

$\tt\orange{To \:Find}\\\\\tt Seg\:OL\:=\:?$

$\tt\orange{Solution}$

$\bf A \:segment\:drawn\: perpendicular\: to\: the\: chord \:bisects\: the\: chord.$

$\therefore\tt{ AL\:=\:BL}\\\\\tt AL\:=\:\dfrac{AB}{2}\\\\\tt{ Consider\: the\: \vartriangle OAL}\\\\\therefore \tt \angle OLA\:=\:90°$

$\tt AO^2\:=\:AL^2\:+\:OL^2\\\\\rightarrow \tt 5^2\:=\:3^2\:+\:OL^2\\\\\rightarrow\tt 25\:=\:9\:+\:OL^2\\\\\rightarrow\tt 25\:-\:9\:=\:OL^2\\\\\rightarrow\tt 16\:=\:OL^2\\\\\rightarrow\tt \sqrt{16}\:=\:OL\\\\\Longrightarrow\bf{\pink{4\:=\:OL}}$