Question

Aakash wanted to determine the height of a tree on the corner of his block he knew that a certain fence by the tree was 4 feet tall at 3 PM he measured the shadow of the fence to be 2.5 feet tall then he measured the tree's shadow to be 11.3 feet what is the height of the tree?
a)12 feet
b)11 feet
c)18 feet
d)30 feet

Answer 1

Answer:

first condition

fence height= 4 feet

fence shadow= 2.5 feet

then angle made by shadow edge and tree top is

here

tanQ= opposite/adjacent

tanQ= Fence height/shadow length

Q= tan inverse (4/2.5)

Q= 58⁰

second condition

tree height= x

tree shadow= 11.3 feet

tanQ= Tree Height/ Shadow length

tan (58⁰)= Height/11.3

Height= tan (58⁰)*11.3

Height= 1.6*11.3= 18

Height of tree is 18 feet.

Height=1

Tree height

Answer 2

Answer:

Step-by-step explanation

Make 2 triangles, 1 consisting of the fence and other the tree.

The 90 degree angle will be same and the bottom angle will also be same hence both of them are similar by AA.

So, their sides will be in proportion,

4/trees height= 2.5/11.3

Hence the answer is 18.08 ft.