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What is the height of a tree if a man standing 5 feet tall is 42 ft from the tree and sees the top of the tree at an angle of elevation of 32°?

Respuesta :

Answer: [tex]31.24\ ft[/tex]

Step-by-step explanation:

Given

The height of a man is 5 ft

Distance between man and tree is 42 ft

the angle of elevation is [tex]32^{\circ}[/tex]

Suppose h is the height of the tree

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]

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