Question

A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level the rope also touches a tree that is growing halfway between the state and the building if the tree is 38 feet tall how tall is the building

Answer 1

Assuming the rope touches the top of the tree, then by similar triangles, the building must be 32 feet tall. 

Hope this helps!

Answer 2

Answer:

Height of building is  76 feet.

Step-by-step explanation:

In the figure below,

AB is the building , DE is the tree standing in half way between the state and building.

Let angle at C be $\theta$

In ΔABC,

tan$\theta$ = $\frac{\text Perpendicular}{\text Base}$

tan$\theta$ = $\frac{h}{2x}$              ......(1)

In ΔDEC,

tan$\theta$ = $\frac{\text Perpendicular}{\text Base}$

tan$\theta$ = $\frac{38}{x}$                 ......(2)

Comparing (1) and (2) ,

$\frac{h}{2x}$   = $\frac{38}{x}$  

$h=2\times38$

⇒ $h=76$

Thus, Height of building is  76 feet.