Question

Yao Ming is 7 feet and 6 inches tall and casts a shadow of 5 feet at one point during the day. The tree beside him is casting a shadow of 15 feet. How tall is the tree

Answer 1

`l_2=9.87ft`

Explanation:

From the question we are told that:

Yao Ming's Height
`h_1=7.6ft`

Length of Yao Ming's shadow
`l_1=5feet`

Tree Height
`h_2=15ft`

Generally the equation for Tree Shadow
`l_2` is mathematically given by

Since Shadow is cast by sun at same angle

`l_2=(h_2*l_1)/(h_1)`

`l_2=(15*5)/(7.6)`

`l_2=9.87ft`