Question

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​-ft 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.

Answer 1

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 $\theta$will remain same thus

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

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

h=35.2 ft