Question

Suppose the width of your fist is 4.1 inches and the length of your arm is 35.4 inches. Based on these measurements, what will be the angular width (in degrees) of your fist held at arm’s length?

Answer 1

Answer:

7 degree

Explanation:

given data

width = 4.1 inches

length = 35.4 inches

solution

we consider as per fig

O is mid point of BC

so  OB  = 2.05 inches

and

AB = $\sqrt{OB^2 + OA^2}$

AB = $\sqrt{2.05^2 + 35.4^2}$

AB = 35.078 inches

so

$sin \frac{\alpha }{2} = \frac{OB}{AB}$

$sin \frac{\alpha }{2} = \frac{2.05}{35.078}$

$\alpha = 7 degree$