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V125BC [204]
3 years ago
13

At a given time of​ day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4​-f

t stick in the ground casts a shadow of 2.8 ​ft, find the height of a tree that casts a shadow that is 24.64 ft.
Physics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:35.2 ft

Explanation:

Given

height of stick =4 ft

shadow length =2.8 ft

Angle of elevation of sun is

tan\theta =\frac{4}{2.8}

let the height of tree be h

as \thetawill remain same thus

tan\theta =\frac{h}{24.64}

\frac{4}{2.8}=\frac{h}{24.64}

h=35.2 ft

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