Answer:
15
Step-by-step explanation:
We can just make a ratio. 5:4 = x:12. We see x=15
The height of the tree = 15m.
let us say the height of the tree=h
in this problem,
the height of the sam can be treated as perpendicular of a right-angle triangle.
while his shadow can be treated as the base of the same triangle.
now, we need to calculate the angle of elevation α
it is the angle between the line of sight and the horizon.
hence,
the tangent of the angle of elevation α= height/length of the shadow
tanα= 5/4
tan α = height of the tree/length of the shadow of the tree
5/4 = h/12
h=15m
therefore, the height of the tree = 15m
to get more about trigonometric ratios refer to the link,
https://brainly.com/question/10417664
