contestada

John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33o . How tall is the tree?

Respuesta :

calculista

Answer:

The height of the tree is [tex]64.94\ ft[/tex]

Step-by-step explanation:

Let

y ----> the height of the tree

we know that

[tex]tan(33\°)=y/100[/tex] ----> the function tangent is equal to divide the opposite side angle of 33 degrees by the adjacent side angle of 33 degrees

Solve for y

[tex]y=(100)tan(33\°)=64.94\ ft[/tex]

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