Question

If a blood drop on the ground is 2mm wide and 5mm long and the distance to the point of convergence is 35 inches away, how high off the ground is the point of origin?

Answer 1

Answer:

15.3 inches

Explanation:

Given that :

a blood drops on the ground at  2mm wide and 5mm long; it is possible to determine the angle of impact.The angle of impact is the angle at which blood stains appear on the surfaces.

angle of impact = $sin^{-1} \frac{width}{length}$

angle of impact = $sin^{-1}( \frac{2}{5})$

angle of impact = $sin^{-1}(0.4)$

angle of impact = 23.59

The point of origin is the height at which the blood falls from and which is calculated as follows:

Tan θ = opposite/adjacent

Tan θ = height at which the blood is falling from /distance

Tan 23.59° = x/35 inches

x = Tan 23.59° × 35 inches

x = 0.43668 × 35 inches

x = 15.2838 inches

x ≅ 15.3 inches

Thus; the point of origin is 15.3 inches high off the ground