The height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m (approx.)
What is angle of elevation?
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer’s line of sight would be above the horizontal.
According to the question
Kite string = hypotenuse = 40m
angle of elevation = 72 °
a) Height of kite = perpendicular
sin( 72 °) = [tex]\frac{Perpendicular}{hypotenuse}[/tex]
0.951 = [tex]\frac{Perpendicular}{40}[/tex]
38.042 ≈ Perpendicular or Height of kite ≈ 38.042
b) Sun is directly above the kite , kite's shadow from Dmitri is = base
Tan (72°) = [tex]\frac{perpendicular }{base}[/tex]
3.077 = [tex]\frac{38.042 }{base}[/tex]
Base ≈ 12.36 m
Hence, height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m
To know more about angle of elevation here :
https://brainly.com/question/21137209
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