Question
Use a pair of compasses and construct the following angles: $150^\circ $
✓
Answer
Steps of Construction:1. Draw a ray $O A$.
2. With $O$ as centre and any suitable radius draw an arc cutting $O A$ at $G$.
3. With $G$ as centre and same radius cut the arc at $B$ and then $B$ as centre and same radius cut the arc at $C$. Again, with $C$ as centre and same radius cut the arc at $D.$
4. With $C$ as centre and radius more than half $C D$ draw an arc.
5. With $D$ as centre and same radius draw another arc to cut the previous arc at $E$.
6. Join $O E$ and produce it to $F$.
Then, $\angle\text{AOF}=150^\circ.$
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$ii.\ $How many students in the class are in the range of maximum height of the class?
$iii.\ $The school wants to provide a particular type of tonic to each student below the height of $150\ cm$ to improve his height. If the cost of the tonic for each student comes out to be ₛ $55$, how much amount of money is required?
$iv.\ $How many students are in the range of shortest height of the class?
$v.\ $State whether true or false:
$a.\ $There are $9$ students in the class whose heights are in the range of $155-159\ cm.$
$b.\ $Maximum height $($in $cm)$ of a student in the class is $17.$
$c.\ $There are $29$ students in the class whose heights are in the range of $145-154\ cm.$
$d.\ $Minimum height $($in $cm)$ of a student is the class is in the range of $140-144\ cm.$
$e.\ $The number of students in the class having their heights less than $150\ cm$ is $12$.
$f.\ $There are $14$ students each of whom has height more than $154\ cm.$
Mark the correct alternative in the following: If $4 : 5 : : x : 45,$ then $x =$
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