Mathematics: Alength 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

These both are right triangles, (they both have 90 degree angle) and they are also 57 degrees at the same angle which means these triangles are geometrically similar ...

Alength of rope is stretch between the top edge

Ответ:

yeayeawhatever3389

04.01.2022

Mathematics

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.

Alength of rope is stretch between the top edge of the building at stake in the ground the head of t

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Alength 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

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