Question

Given below is the image of a hanger. Each slanting side is 26 cm long and the width of the hanger at its central hanging point is 10 cm. Akash’s shoulder size is 42 cm. Will he be able to hang his shirt completely over the base of the hanger?

• A. Yes
• B. No

Answer 1

The correct option is B

No

Using Pythagoras Theorem, we get:
$O{C}^2+O{A}^2=A{C}^2$
$O{C}^2=A{C}^2-O{A}^2$
$={\left(26cm\right)}^2-{\left(10cm\right)}^2$
$=676c{m}^2-100c{m}^2$
$OC=\sqrt{576}c{m}^2=24cm.$
Thus, the total base of the hanger will be 24 cm + 24 cm = 48 cm.
Since, the length of the shoulder 42 cm is less than the base of the hanger. Therefore, Akash will not be able to hang his shirt.