Question

To find the height of a tree, a group of Boy Scouts devised the following
method. A boy walks towards the tree along its shadow unit the shadow of
the top of his head coincides with the shadow of the top of the tree. If the
boy is 90cm tall, his distance to the foot of the tree is 7.5m, and the length
of his shadow is 1.5 m, how tall is tree?
a. 540 cm
b. 300 cm
c. 450cm
d. 360cm​

Answer 1

Answere:

a. 540 cm

Step-by-step explanation:

total height of tree shadow = 7.5 + 1.5 = 9.0 m;

if boy shadow height = 1.5m,

and boy height = 90 cm,

it means 1.5 m shadow made by 90 cm of height of boy,

So; 9 m height of tree shadow = (9.0/1.5) * 90cm,

the final height of tree is = 6*90 = 540 cm.