Answer:3.541 m
Step-by-step explanation:
From Diagram we can say that
[tex]tan\left ( 50\right )=\frac{b}{1.5}[/tex]
b=1.787 m
also we know
[tex]\frac{sin50}{sin\theta}=\mu [/tex]
[tex]sin\theta =0.5745[/tex]
[tex]\theta =35.064^{\circ}[/tex]
[tex]also\ tan\theta =\frac{a}{2.5}[/tex]
a=1.754
thus shadow of pole[tex]=a+b=1.754+1.787=3.541 m[/tex]
The shadow of the pole is; 3.617 m
From the diagram, we can say with the aid of trigonometric ratios that;
tan 50 = b/1.5
Thus; b = 1.5 * tan 50
b = 1.787 m
From snell's law, we can say that;
sin 50/sin θ = 1.33
Thus;
sin θ = (sin 50)/1.33
sin θ = 0.575973
θ = 35.1678°
Similarly;
tan θ = a/2.5
a = 2.5 * tan 35.1678°
a = 1.83
Shadow of pole = a + b
Shadow of pole = 1.83 + 1.787 = 3.617 m
Read more about Trigonometric ratios at; https://brainly.com/question/13276558
