PLEASE HELP ME PRETTY PLEASE

Mathematics

1 answer:

aksik [14]2 years ago

4 0

Answer:

The approximate height of the tree is 4.6 m

Step-by-step explanation:

Distance between the base of tree and arborist = 8 m

So, Base = 8 m

The angle of elevation to one tree is 30°

We are supposed to find What is the approximate height of the tree?

Using trigonometric property:

$tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ}=\frac{Height}{8}\\\frac{1}{\sqrt{3}}=\frac{Height}{8}\\\frac{8}{\sqrt{3}}=Height\\4.618=Height$

So, the approximate height of the tree is 4.6 m

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