Hence , shadow of person is 11.38 meters long.
What is trigonometric ratio?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve?
Given angle is 40degrees
base -25 meters
hence tan 40 degrees=0.83
also tan [tex]\alpha =\frac{P}{B}[/tex]
P/25=0.83
P=0.83*25
P=20.75
hence option b 11.38 is correct .
learn more about trigonometric ratios
https://brainly.com/question/4326804
#SPJ2